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You searched for subject:(projective plane). Showing records 1 – 22 of 22 total matches.

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1. Taş, Mustafa. Sol hall sistemi üzerine kurulan 9. mertebeden projektif düzlemin fano konfigürasyonları üzerine .

Degree: ESOGÜ, Fen Edebiyat Fakültesi, Matematik ve Bilgisayar Bilimleri, 2015, Eskisehir Osmangazi University

 Bu çalışmada, birinci bölümde sol yaklaşık cisim, projektif düzlem ve projektif düzlemin koordinatlanması ile ilgili tanım ve kavramlar veriliyor. İkinci bölümde Sol Hall Sistemi (Sol… (more)

Subjects/Keywords: Left Near-Field; Projective Plane; Fano Plane; Sol Yaklaşık Cisim; Projektif Düzlem; Fano Düzlemi

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Taş, M. (2015). Sol hall sistemi üzerine kurulan 9. mertebeden projektif düzlemin fano konfigürasyonları üzerine . (Thesis). Eskisehir Osmangazi University. Retrieved from http://hdl.handle.net/11684/445

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Taş, Mustafa. “Sol hall sistemi üzerine kurulan 9. mertebeden projektif düzlemin fano konfigürasyonları üzerine .” 2015. Thesis, Eskisehir Osmangazi University. Accessed July 03, 2020. http://hdl.handle.net/11684/445.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Taş, Mustafa. “Sol hall sistemi üzerine kurulan 9. mertebeden projektif düzlemin fano konfigürasyonları üzerine .” 2015. Web. 03 Jul 2020.

Vancouver:

Taş M. Sol hall sistemi üzerine kurulan 9. mertebeden projektif düzlemin fano konfigürasyonları üzerine . [Internet] [Thesis]. Eskisehir Osmangazi University; 2015. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/11684/445.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Taş M. Sol hall sistemi üzerine kurulan 9. mertebeden projektif düzlemin fano konfigürasyonları üzerine . [Thesis]. Eskisehir Osmangazi University; 2015. Available from: http://hdl.handle.net/11684/445

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

2. Hancı, Hacer. Üçgensel normlar üzerine .

Degree: ESOGÜ, Fen Edebiyat Fakültesi, Matematik ve Bilgisayar Bilimleri, 2013, Eskisehir Osmangazi University

Bu çalışmada, üçgensel normlardan; minimum t-norm, product t-norm, Lukasiewicz t-norm ve drastic product t-norm kavramları ve bu t-normların duali olan t-conormlar incelenerek minimum t-normun bir uygulaması olan fiber projektif düzlem örneği sunulmuştur. Advisors/Committee Members: Akça, Ziya (advisor).

Subjects/Keywords: Üçgensel Normlar; Fiber Projektif Düzlem; Triangular Norms; Fiber Projective Plane

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APA (6th Edition):

Hancı, H. (2013). Üçgensel normlar üzerine . (Thesis). Eskisehir Osmangazi University. Retrieved from http://hdl.handle.net/11684/863

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Hancı, Hacer. “Üçgensel normlar üzerine .” 2013. Thesis, Eskisehir Osmangazi University. Accessed July 03, 2020. http://hdl.handle.net/11684/863.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Hancı, Hacer. “Üçgensel normlar üzerine .” 2013. Web. 03 Jul 2020.

Vancouver:

Hancı H. Üçgensel normlar üzerine . [Internet] [Thesis]. Eskisehir Osmangazi University; 2013. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/11684/863.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Hancı H. Üçgensel normlar üzerine . [Thesis]. Eskisehir Osmangazi University; 2013. Available from: http://hdl.handle.net/11684/863

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


University of Tasmania

3. Row, Donald Hawkins. Homomorphisms of projective planes.

Degree: 1969, University of Tasmania

Subjects/Keywords: Geometry; Plane; Geometry; Projective

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APA (6th Edition):

Row, D. H. (1969). Homomorphisms of projective planes. (Thesis). University of Tasmania. Retrieved from https://eprints.utas.edu.au/21446/1/whole_RowDonaldHawkins1969_thesis.pdf

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Row, Donald Hawkins. “Homomorphisms of projective planes.” 1969. Thesis, University of Tasmania. Accessed July 03, 2020. https://eprints.utas.edu.au/21446/1/whole_RowDonaldHawkins1969_thesis.pdf.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Row, Donald Hawkins. “Homomorphisms of projective planes.” 1969. Web. 03 Jul 2020.

Vancouver:

Row DH. Homomorphisms of projective planes. [Internet] [Thesis]. University of Tasmania; 1969. [cited 2020 Jul 03]. Available from: https://eprints.utas.edu.au/21446/1/whole_RowDonaldHawkins1969_thesis.pdf.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Row DH. Homomorphisms of projective planes. [Thesis]. University of Tasmania; 1969. Available from: https://eprints.utas.edu.au/21446/1/whole_RowDonaldHawkins1969_thesis.pdf

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


Harvard University

4. Huizenga, Jack. Restrictions of Steiner Bundles and Divisors on the Hilbert Scheme of Points in the Plane.

Degree: PhD, Mathematics, 2012, Harvard University

The Hilbert scheme of (n) points in the projective plane parameterizes degree (n) zero-dimensional subschemes of the projective plane. We examine the dual cones of… (more)

Subjects/Keywords: Hilbert scheme; mathematics; projective plane; stability; vector bundles

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APA (6th Edition):

Huizenga, J. (2012). Restrictions of Steiner Bundles and Divisors on the Hilbert Scheme of Points in the Plane. (Doctoral Dissertation). Harvard University. Retrieved from http://nrs.harvard.edu/urn-3:HUL.InstRepos:9571108

Chicago Manual of Style (16th Edition):

Huizenga, Jack. “Restrictions of Steiner Bundles and Divisors on the Hilbert Scheme of Points in the Plane.” 2012. Doctoral Dissertation, Harvard University. Accessed July 03, 2020. http://nrs.harvard.edu/urn-3:HUL.InstRepos:9571108.

MLA Handbook (7th Edition):

Huizenga, Jack. “Restrictions of Steiner Bundles and Divisors on the Hilbert Scheme of Points in the Plane.” 2012. Web. 03 Jul 2020.

Vancouver:

Huizenga J. Restrictions of Steiner Bundles and Divisors on the Hilbert Scheme of Points in the Plane. [Internet] [Doctoral dissertation]. Harvard University; 2012. [cited 2020 Jul 03]. Available from: http://nrs.harvard.edu/urn-3:HUL.InstRepos:9571108.

Council of Science Editors:

Huizenga J. Restrictions of Steiner Bundles and Divisors on the Hilbert Scheme of Points in the Plane. [Doctoral Dissertation]. Harvard University; 2012. Available from: http://nrs.harvard.edu/urn-3:HUL.InstRepos:9571108


University of British Columbia

5. Ward, Kathleen Jean. The algebra of certain one- and two-dimensional primitive forms .

Degree: 1932, University of British Columbia

No abstract included.

Subjects/Keywords: Geometry - Plane; Geometry - Projective

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APA (6th Edition):

Ward, K. J. (1932). The algebra of certain one- and two-dimensional primitive forms . (Thesis). University of British Columbia. Retrieved from http://hdl.handle.net/2429/30180

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Ward, Kathleen Jean. “The algebra of certain one- and two-dimensional primitive forms .” 1932. Thesis, University of British Columbia. Accessed July 03, 2020. http://hdl.handle.net/2429/30180.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Ward, Kathleen Jean. “The algebra of certain one- and two-dimensional primitive forms .” 1932. Web. 03 Jul 2020.

Vancouver:

Ward KJ. The algebra of certain one- and two-dimensional primitive forms . [Internet] [Thesis]. University of British Columbia; 1932. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/2429/30180.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ward KJ. The algebra of certain one- and two-dimensional primitive forms . [Thesis]. University of British Columbia; 1932. Available from: http://hdl.handle.net/2429/30180

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

6. Şahin, Metin. Sonlu lineer uzayların doğru dereceleri üzerine .

Degree: ESOGÜ, Fen Edebiyat Fakültesi, Matematik ve Bilgisayar Bilimleri, 2013, Eskisehir Osmangazi University

 Bu tez dört bölümden oluşmaktadır. Birinci bölümde, tezin özeti verilmiştir. İkinci bölümde, L. M. Batten (1986), R. Kaya (1992), L. M. Batten ve A. Beutelspacher… (more)

Subjects/Keywords: Lineer Uzaylar; Doğru Derecesi; Komplement; Afin Düzlem; Projektif Düzlem; Linear Space; Line Degree; Complement; Affine Plane; Projective Plane

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APA (6th Edition):

Şahin, M. (2013). Sonlu lineer uzayların doğru dereceleri üzerine . (Thesis). Eskisehir Osmangazi University. Retrieved from http://hdl.handle.net/11684/909

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Şahin, Metin. “Sonlu lineer uzayların doğru dereceleri üzerine .” 2013. Thesis, Eskisehir Osmangazi University. Accessed July 03, 2020. http://hdl.handle.net/11684/909.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Şahin, Metin. “Sonlu lineer uzayların doğru dereceleri üzerine .” 2013. Web. 03 Jul 2020.

Vancouver:

Şahin M. Sonlu lineer uzayların doğru dereceleri üzerine . [Internet] [Thesis]. Eskisehir Osmangazi University; 2013. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/11684/909.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Şahin M. Sonlu lineer uzayların doğru dereceleri üzerine . [Thesis]. Eskisehir Osmangazi University; 2013. Available from: http://hdl.handle.net/11684/909

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)

7. Παναγιωτίδου, Κωνσταντίνα. Μελέτη υπερεπιφανειών πολλαπλοτήτων Riemmam.

Degree: 2012, Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)

In this thesis the problem of classifying three dimensional real hypersurfaces in complex projective space form CP2 and in complex hyperbolic space form CH2, in… (more)

Subjects/Keywords: Πραγματική υπερεπιφάνεια; Μιγαδικό προβολικό επίπεδο; Μιγαδικό υπερβολικό επίπεδο; Τελεστής Jacobi; Real hypersurface; Complex projective plane; Complex hyperbolic plane; Jacobi operator

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APA (6th Edition):

Παναγιωτίδου, . . (2012). Μελέτη υπερεπιφανειών πολλαπλοτήτων Riemmam. (Thesis). Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ). Retrieved from http://hdl.handle.net/10442/hedi/28479

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Παναγιωτίδου, Κωνσταντίνα. “Μελέτη υπερεπιφανειών πολλαπλοτήτων Riemmam.” 2012. Thesis, Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ). Accessed July 03, 2020. http://hdl.handle.net/10442/hedi/28479.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Παναγιωτίδου, Κωνσταντίνα. “Μελέτη υπερεπιφανειών πολλαπλοτήτων Riemmam.” 2012. Web. 03 Jul 2020.

Vancouver:

Παναγιωτίδου . Μελέτη υπερεπιφανειών πολλαπλοτήτων Riemmam. [Internet] [Thesis]. Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ); 2012. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/10442/hedi/28479.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Παναγιωτίδου . Μελέτη υπερεπιφανειών πολλαπλοτήτων Riemmam. [Thesis]. Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ); 2012. Available from: http://hdl.handle.net/10442/hedi/28479

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


Virginia Tech

8. Brunson, Jason Cornelius. On Projective Planes & Rational Identities.

Degree: MS, Mathematics, 2005, Virginia Tech

 One of the marvelous phenomena of coordinate geometry is the equivalence of Desargues' Theorem to the presence of an underlying division ring in a projective(more)

Subjects/Keywords: rational identity; intersection theorem; projective plane

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APA (6th Edition):

Brunson, J. C. (2005). On Projective Planes & Rational Identities. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32498

Chicago Manual of Style (16th Edition):

Brunson, Jason Cornelius. “On Projective Planes & Rational Identities.” 2005. Masters Thesis, Virginia Tech. Accessed July 03, 2020. http://hdl.handle.net/10919/32498.

MLA Handbook (7th Edition):

Brunson, Jason Cornelius. “On Projective Planes & Rational Identities.” 2005. Web. 03 Jul 2020.

Vancouver:

Brunson JC. On Projective Planes & Rational Identities. [Internet] [Masters thesis]. Virginia Tech; 2005. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/10919/32498.

Council of Science Editors:

Brunson JC. On Projective Planes & Rational Identities. [Masters Thesis]. Virginia Tech; 2005. Available from: http://hdl.handle.net/10919/32498


Kansas State University

9. Kabadi, Ashok N. Generating three dimensional cutter paths for an XY or XZ contour milling machine.

Degree: 1981, Kansas State University

Subjects/Keywords: Motion study; Curves, Plane; Projective planes

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APA (6th Edition):

Kabadi, A. N. (1981). Generating three dimensional cutter paths for an XY or XZ contour milling machine. (Thesis). Kansas State University. Retrieved from http://hdl.handle.net/2097/12589

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Kabadi, Ashok N. “Generating three dimensional cutter paths for an XY or XZ contour milling machine.” 1981. Thesis, Kansas State University. Accessed July 03, 2020. http://hdl.handle.net/2097/12589.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Kabadi, Ashok N. “Generating three dimensional cutter paths for an XY or XZ contour milling machine.” 1981. Web. 03 Jul 2020.

Vancouver:

Kabadi AN. Generating three dimensional cutter paths for an XY or XZ contour milling machine. [Internet] [Thesis]. Kansas State University; 1981. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/2097/12589.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Kabadi AN. Generating three dimensional cutter paths for an XY or XZ contour milling machine. [Thesis]. Kansas State University; 1981. Available from: http://hdl.handle.net/2097/12589

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


Georgia Tech

10. Asadi Shahmirzadi, Arash. Minor-minimal non-projective planar graphs with an internal 3-separation.

Degree: PhD, Mathematics, 2012, Georgia Tech

 The property that a graph has an embedding in the projective plane is closed under taking minors. Thus by the well known Graph Minor theorem… (more)

Subjects/Keywords: C-planar; Non-projective planar; Minor-minimal; Algorithms; Graph theory; Graph theory; Geometry, Plane

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APA (6th Edition):

Asadi Shahmirzadi, A. (2012). Minor-minimal non-projective planar graphs with an internal 3-separation. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/45914

Chicago Manual of Style (16th Edition):

Asadi Shahmirzadi, Arash. “Minor-minimal non-projective planar graphs with an internal 3-separation.” 2012. Doctoral Dissertation, Georgia Tech. Accessed July 03, 2020. http://hdl.handle.net/1853/45914.

MLA Handbook (7th Edition):

Asadi Shahmirzadi, Arash. “Minor-minimal non-projective planar graphs with an internal 3-separation.” 2012. Web. 03 Jul 2020.

Vancouver:

Asadi Shahmirzadi A. Minor-minimal non-projective planar graphs with an internal 3-separation. [Internet] [Doctoral dissertation]. Georgia Tech; 2012. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/1853/45914.

Council of Science Editors:

Asadi Shahmirzadi A. Minor-minimal non-projective planar graphs with an internal 3-separation. [Doctoral Dissertation]. Georgia Tech; 2012. Available from: http://hdl.handle.net/1853/45914

11. Tuchiya, Shoichi. On structures of geometrically realizable triangulations on surfaces : 幾何学的実現可能な曲面の三角形分割の構造についての研究.

Degree: 2016, Yokohama National University / 横浜国立大学

曲面F2に辺の交差なく埋め込まれたグラフをF2上の地図とよぶ.与えられた地図Gから,三次元空間に各面がフラット,かつどの二枚の面も内部交差をおこさないような多面体Pが得られるとき,PはGの幾何学的実現とよばれる.曲面上の地図の幾何学的実現についての研究は,計算幾何学に属し,その歴史はSteinitz の定理までさかのぼることができる.本論文では,計算幾何学的手法やグラフ理論的手法を用いた,曲面の三角形分割の幾何学的実現可能性を判定する問題を扱う.特に,メビウスの帯の三角形分割については,幾何学的実現を持つための構造を完全決定する. 序論では,正多面体などを含む,幾何学的実現についての研究の歴史的背景や,近年の関連結果,先行研究,本論文の主結果などを紹介する. 第一章では,本論文で用いる記号や概念などの定義を与える. 第二章では,曲面の三角形分割の幾何学的実現可能性を考える問題の中で,計算幾何学的手法とグラフ理論的手法を結びつけるために重要なexhibitionの概念について述べる.第三章では,向き付け可能な曲面の三角形分割の幾何学的実現について,これまで示されてきた結果と未解決問題を提示する. 第四章、第五章では,向き付け不可能な曲面の三角形分割の幾何学的実現について,これまで示されてきた結果を提示し,本論文で新たに得られた成果とその証明を述べる. 第六章では,本論文で幾何学的実現を構築するために使った三次元空間座標などのデータを示す. 以下に本論文の第三章から第五章までの内容を簡単に解説する. 1922年にSteinitzは球面上の地図が幾何学的実現を持つための必要十分条件を示した.一般に与えられた地図の幾何学的実現可能性を示すことはNP困難であることが知られているが,1967年にGr?nbaumによって,向き付け可能な曲面の任意の三角形分割は幾何学的実現を持つという予想が立てられた(Steinitzの定理により,球面の場合はこの予想が成り立つ).この予想に対して,計算幾何学的なアプローチによって,種数4以下の向き付け可能な曲面の三角形分割のうち,頂点数が最小のものは幾何学的実現を持つことが示された.しかしながら,Scheweによって,種数5以上の向き付け可能な閉曲面には,幾何学的実現を持たない三角形分割が存在することが示され,Gr?nbaumの予想は間違いであることがわかった. 一方,2007年にArchdeaconたちは,三角形分割の幾何学的実現可能性を判定する問題に,幾何学的実現の一部の条件を緩和した"exhibition"という概念を導入した(exhibitionの厳密な定義は本論文の第二章で扱う).この概念によって,三角形分割の幾何学的実現可能性を判定する問題に対して,グラフ理論的手法を用いたアプローチが確立された.これにより, ArchdeaconたちはGr?nbaumの予想がトーラスの三角形分割の場合に成り立つことを示すことに成功した.さらに,彼らは以下の問題も提起した. 問題 どのようなメビウスの帯の三角形分割が幾何学的実現を持つのか? メビウスの帯の三角形分割には,幾何学的実現不可能となる部分構造が存在することがBrehmによって示されている.しかしながら,2008年にCh?vezたちはArchdeaconたちと同様の手法を用いて,メビウスの帯の5-連結三角形分割は幾何学的実現を持つことを示した.彼らは射影平面の三角形分割GとGの任意の面fについて,Gが5-連結であれば,fを中心に都合のいいGの部分グラフHを持つことを示した.そして,Hの構造を利用して,Gからfの内部を取り除いて得られるメビウスの帯の三角形分割G-fの幾何学的実現を構築した(この結果の系として,上述したメビウスの帯の5-連結三角形分割の結果が得られる).Ch?vezたちの示した定理は,メビウスの帯の三角形分割の幾何学的実現可能性を判定する問題に対して部分的な解決を与えたが,完全解決するまでには至らなかった.本論文の第四章と第五章では,幾何学的実現可能なメビウスの帯の三角形分割の構造を完全決定し,上述した問題を解決する. 第四章では,射影平面の三角形分割GとGの任意の面fについてG-fが幾何学的実現を持つための構造を完全決定する.具体的には,G-fが幾何学的実現を持たないのは,GがBrehmの示した部分構造を持つとき,かつそのときに限ることを示す.定理の証明方針はCh?vezたちの手法と同様,Gがfを中心に都合のいい部分グラフHを持つことを示し,Hの構造を利用して,G-fの幾何学的実現を構築する.Ch?vezたちの定理は三角形分割に5-連結という条件をつけていたため,Hの候補となるグラフが1つに定まったが,本章で扱う定理は,Brehmの示した部分構造を含まないという条件(この条件は,5-連結よりも弱い)だけで証明を進めなければならないため,Hの候補となるグラフが多くなってしまった.その結果,Ch?vezたちの証明よりも複雑化し,より多くの幾何学的実現を構築する必要があった.この問題を解決するために,本章では,計算幾何学的な手法を用いて,効率よくHの幾何学的実現を構築した.また,それらが正しく構築できていることを客観的に確認するため,コンピューターチェックを用いた(本論文で使用したコンピュータチェックアルゴリズムは第二章でふれる).以上のように,グラフ理論的手法と計算幾何学的手法を組み合わせることによって,G-fが幾何学的実現を持つための必要十分条件が示せた. 第五章では,第四章で証明した定理を用いて,メビウスの帯の三角形分割が幾何学的実現を持つための構造を完全決定する.具体的には,前章で示した定理を拡張し,メビウスの帯の三角形分割が幾何学的実現を持たないのは,Brehmの示した部分構造を持つとき,かつそのときに限ることを示す.当初,この定理は,Ch?vezたちがメビウスの帯の5-連結三角形分割が幾何学的実現を持つことを示した手法と同様に,前章で証明した定理の系として得られると考えていた.実際,ほとんどの場合,先行研究と同様の手法で解決することができたが,1つだけ,その手法では解決できないものが存在した.したがって,本章では,最初に,前章で証明した定理の系として証明できる場合とそうでない場合を列挙し,証明すべき事柄を明確化させる(例えば,メビウスの帯の三角形分割の境界閉路の長さが3の時には,前章で示した定理から,幾何学的実現を持つための必要十分条件がただちに得られる).その後,第四章で用いた手法を拡張し,より精密な議論を重ね,メビウスの帯の三角形分割が幾何学的実現を持つための必要十分条件を与える.

横浜国立大学, 平成24年3月23日, 博士(学術), 甲第1478号

Subjects/Keywords: geometric realization; triangulation; M?bius band; projective plane; exhibition

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Tuchiya, S. (2016). On structures of geometrically realizable triangulations on surfaces : 幾何学的実現可能な曲面の三角形分割の構造についての研究. (Thesis). Yokohama National University / 横浜国立大学. Retrieved from http://hdl.handle.net/10131/8118

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Tuchiya, Shoichi. “On structures of geometrically realizable triangulations on surfaces : 幾何学的実現可能な曲面の三角形分割の構造についての研究.” 2016. Thesis, Yokohama National University / 横浜国立大学. Accessed July 03, 2020. http://hdl.handle.net/10131/8118.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Tuchiya, Shoichi. “On structures of geometrically realizable triangulations on surfaces : 幾何学的実現可能な曲面の三角形分割の構造についての研究.” 2016. Web. 03 Jul 2020.

Vancouver:

Tuchiya S. On structures of geometrically realizable triangulations on surfaces : 幾何学的実現可能な曲面の三角形分割の構造についての研究. [Internet] [Thesis]. Yokohama National University / 横浜国立大学; 2016. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/10131/8118.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Tuchiya S. On structures of geometrically realizable triangulations on surfaces : 幾何学的実現可能な曲面の三角形分割の構造についての研究. [Thesis]. Yokohama National University / 横浜国立大学; 2016. Available from: http://hdl.handle.net/10131/8118

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

12. Laass, Vinicius Casteluber. Grupos de tranças do espaço projetivo.

Degree: Mestrado, Matemática, 2011, University of São Paulo

Dada uma superfície M, definiremos os grupos de tranças de M, denotado por \'B IND. n(́M), geometricamente e usando a noção de espaços de confiuração.… (more)

Subjects/Keywords: Apresentação de grupos; Braid groups; Configuration spaces; Espaço projetivo; Espaços de configuração; Grupos de tranças; Presentation of groups; Projective plane

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APA (6th Edition):

Laass, V. C. (2011). Grupos de tranças do espaço projetivo. (Masters Thesis). University of São Paulo. Retrieved from http://www.teses.usp.br/teses/disponiveis/55/55135/tde-12052011-105031/ ;

Chicago Manual of Style (16th Edition):

Laass, Vinicius Casteluber. “Grupos de tranças do espaço projetivo.” 2011. Masters Thesis, University of São Paulo. Accessed July 03, 2020. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-12052011-105031/ ;.

MLA Handbook (7th Edition):

Laass, Vinicius Casteluber. “Grupos de tranças do espaço projetivo.” 2011. Web. 03 Jul 2020.

Vancouver:

Laass VC. Grupos de tranças do espaço projetivo. [Internet] [Masters thesis]. University of São Paulo; 2011. [cited 2020 Jul 03]. Available from: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-12052011-105031/ ;.

Council of Science Editors:

Laass VC. Grupos de tranças do espaço projetivo. [Masters Thesis]. University of São Paulo; 2011. Available from: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-12052011-105031/ ;

13. Erden, Samet. Fuzzy gruplarından elde edilen fuzzy projektif geometriler üzerine .

Degree: ESOGÜ, Fen Edebiyat Fakültesi, Matematik ve Bilgisayar Bilimleri, 2013, Eskisehir Osmangazi University

 Bu çalışmada, fuzzy projektif geometriden elde edilen fuzzy grup ve fuzzy gruptan elde edilen fuzzy projektif geometri oluşturulmuştur. Birinci bölümde, grup teorisindeki ve projektif geometrideki… (more)

Subjects/Keywords: Fuzzy Projektif Uzayı; Fuzzy Projektif Düzlemi; Fano Fuzzy Düzlemi; Fuzzy Alt Grubu; Fuzzy Prpjective Space; Fuzzy Projective Plane; Fuzzy Fano Plane; Fuzzy Subgroups

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APA (6th Edition):

Erden, S. (2013). Fuzzy gruplarından elde edilen fuzzy projektif geometriler üzerine . (Thesis). Eskisehir Osmangazi University. Retrieved from http://hdl.handle.net/11684/816

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Erden, Samet. “Fuzzy gruplarından elde edilen fuzzy projektif geometriler üzerine .” 2013. Thesis, Eskisehir Osmangazi University. Accessed July 03, 2020. http://hdl.handle.net/11684/816.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Erden, Samet. “Fuzzy gruplarından elde edilen fuzzy projektif geometriler üzerine .” 2013. Web. 03 Jul 2020.

Vancouver:

Erden S. Fuzzy gruplarından elde edilen fuzzy projektif geometriler üzerine . [Internet] [Thesis]. Eskisehir Osmangazi University; 2013. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/11684/816.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Erden S. Fuzzy gruplarından elde edilen fuzzy projektif geometriler üzerine . [Thesis]. Eskisehir Osmangazi University; 2013. Available from: http://hdl.handle.net/11684/816

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


Pontifical Catholic University of Rio de Janeiro

14. ERICSON DUARTE DO NASCIMENTO. [en] THE PONCELET S PORISM.

Degree: 2017, Pontifical Catholic University of Rio de Janeiro

[pt] A proposta deste trabalho é apresentar e demonstrar o Porismo de Poncelet, tanto o caso base para triângulos quanto o caso geral para um… (more)

Subjects/Keywords: [pt] PORISMO DE PONCELET; [en] PONCELET S PORISM; [pt] CONICAS; [en] CONICS; [pt] GEOMETRIA PLANA; [en] PLANE GEOMETRY; [pt] GEOMETRIA PROJETIVA; [en] PROJECTIVE GEOMETRY

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APA (6th Edition):

NASCIMENTO, E. D. D. (2017). [en] THE PONCELET S PORISM. (Thesis). Pontifical Catholic University of Rio de Janeiro. Retrieved from http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=32326

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

NASCIMENTO, ERICSON DUARTE DO. “[en] THE PONCELET S PORISM.” 2017. Thesis, Pontifical Catholic University of Rio de Janeiro. Accessed July 03, 2020. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=32326.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

NASCIMENTO, ERICSON DUARTE DO. “[en] THE PONCELET S PORISM.” 2017. Web. 03 Jul 2020.

Vancouver:

NASCIMENTO EDD. [en] THE PONCELET S PORISM. [Internet] [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2017. [cited 2020 Jul 03]. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=32326.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

NASCIMENTO EDD. [en] THE PONCELET S PORISM. [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2017. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=32326

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


Université Paris-Sud – Paris XI

15. Saleur, Benoît. Trois problèmes géométriques d'hyperbolicité complexe et presque complexe : Three geometric problems of complex and almost complex hyperbolicity.

Degree: Docteur es, Mathématiques, 2011, Université Paris-Sud – Paris XI

Cette thèse est consacrée à l'étude de trois problèmes d'hyperbolicité complexe et presque complexe. La première partie est dédiée à la recherche d'une conséquence quantitative… (more)

Subjects/Keywords: Hyperbolicité complexe; Courbes entières; Théorème de Bloch; Surfaces de Riemann; Courants positifs; Plan projectif presque complexe; Complex hyperbolicity; Entire curves; Bloch's theorem; Riemann surfaces; Positive currents; Almost complex projective plane

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APA (6th Edition):

Saleur, B. (2011). Trois problèmes géométriques d'hyperbolicité complexe et presque complexe : Three geometric problems of complex and almost complex hyperbolicity. (Doctoral Dissertation). Université Paris-Sud – Paris XI. Retrieved from http://www.theses.fr/2011PA112256

Chicago Manual of Style (16th Edition):

Saleur, Benoît. “Trois problèmes géométriques d'hyperbolicité complexe et presque complexe : Three geometric problems of complex and almost complex hyperbolicity.” 2011. Doctoral Dissertation, Université Paris-Sud – Paris XI. Accessed July 03, 2020. http://www.theses.fr/2011PA112256.

MLA Handbook (7th Edition):

Saleur, Benoît. “Trois problèmes géométriques d'hyperbolicité complexe et presque complexe : Three geometric problems of complex and almost complex hyperbolicity.” 2011. Web. 03 Jul 2020.

Vancouver:

Saleur B. Trois problèmes géométriques d'hyperbolicité complexe et presque complexe : Three geometric problems of complex and almost complex hyperbolicity. [Internet] [Doctoral dissertation]. Université Paris-Sud – Paris XI; 2011. [cited 2020 Jul 03]. Available from: http://www.theses.fr/2011PA112256.

Council of Science Editors:

Saleur B. Trois problèmes géométriques d'hyperbolicité complexe et presque complexe : Three geometric problems of complex and almost complex hyperbolicity. [Doctoral Dissertation]. Université Paris-Sud – Paris XI; 2011. Available from: http://www.theses.fr/2011PA112256

16. Tait, Michael. Connections between graph theory, additive combinatorics, and finite incidence geometry.

Degree: Mathematics, 2016, University of California – San Diego

 This thesis studies problems in extremal graph theory, combinatorial number theory, and finite incidence geometry, and the interplay between these three areas. The first topic… (more)

Subjects/Keywords: Mathematics; Additive Combinatorics; Extremal Graph Theory; Polarity Graphs; Projective Plane; Sidon Set; Sum-Product Estimate

…present day. Using spectral properties of the bipartite incidence graph of a projective plane… …in finite incidence geometry: what is the subplane structure of a projective plane? A… …Fano subplane. By studying the structural properties of polarity graphs of a projective plane… …study a question about the subplane structure of a projective plane from the perspective of… …projective plane of order k is a subplane of a projective plane of order n. Neumann [67]… 

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APA (6th Edition):

Tait, M. (2016). Connections between graph theory, additive combinatorics, and finite incidence geometry. (Thesis). University of California – San Diego. Retrieved from http://www.escholarship.org/uc/item/65v3m58c

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Tait, Michael. “Connections between graph theory, additive combinatorics, and finite incidence geometry.” 2016. Thesis, University of California – San Diego. Accessed July 03, 2020. http://www.escholarship.org/uc/item/65v3m58c.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Tait, Michael. “Connections between graph theory, additive combinatorics, and finite incidence geometry.” 2016. Web. 03 Jul 2020.

Vancouver:

Tait M. Connections between graph theory, additive combinatorics, and finite incidence geometry. [Internet] [Thesis]. University of California – San Diego; 2016. [cited 2020 Jul 03]. Available from: http://www.escholarship.org/uc/item/65v3m58c.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Tait M. Connections between graph theory, additive combinatorics, and finite incidence geometry. [Thesis]. University of California – San Diego; 2016. Available from: http://www.escholarship.org/uc/item/65v3m58c

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

17. Caullery, Florian. Polynomes sur les corps finis pour la cryptographie : Polynomials over finite fields for cryptography.

Degree: Docteur es, Mathématiques, 2014, Aix Marseille Université

Les fonctions de Fq dans lui-même sont des objets étudiés dans de divers domaines tels que la cryptographie, la théorie des codes correcteurs d'erreurs, la… (more)

Subjects/Keywords: Corps finis; Fonctions polynômiales; Cryptographie symétrique; Géométrie algébrique; Fonction presque parfaitement non linéaire; Plan projectif; Ovale; Hyperovale; Code correcteurs d'erreurs; Finite fields; Polynomial functions; Symmetric cryptography; Algebraic geometry; Almost Perfectly Nonlinearity; Projective plane; Oval; Hyperoval; Error correcting code; 510

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APA (6th Edition):

Caullery, F. (2014). Polynomes sur les corps finis pour la cryptographie : Polynomials over finite fields for cryptography. (Doctoral Dissertation). Aix Marseille Université. Retrieved from http://www.theses.fr/2014AIXM4013

Chicago Manual of Style (16th Edition):

Caullery, Florian. “Polynomes sur les corps finis pour la cryptographie : Polynomials over finite fields for cryptography.” 2014. Doctoral Dissertation, Aix Marseille Université. Accessed July 03, 2020. http://www.theses.fr/2014AIXM4013.

MLA Handbook (7th Edition):

Caullery, Florian. “Polynomes sur les corps finis pour la cryptographie : Polynomials over finite fields for cryptography.” 2014. Web. 03 Jul 2020.

Vancouver:

Caullery F. Polynomes sur les corps finis pour la cryptographie : Polynomials over finite fields for cryptography. [Internet] [Doctoral dissertation]. Aix Marseille Université 2014. [cited 2020 Jul 03]. Available from: http://www.theses.fr/2014AIXM4013.

Council of Science Editors:

Caullery F. Polynomes sur les corps finis pour la cryptographie : Polynomials over finite fields for cryptography. [Doctoral Dissertation]. Aix Marseille Université 2014. Available from: http://www.theses.fr/2014AIXM4013

18. Ortigas Galindo, Jorge. Invariants algébriques et topologiques des courbes et surfaces à singularités quotient : Algebraic and Topological Invariants of Curves and Surfaces with Quotient Singularities.

Degree: Docteur es, Mathématiques, 2013, Pau; Universidad de Zaragoza (Espagne)

Le but principal de cette thèse de doctorat est l'étude de l'anneau de cohomologie du complément d'une courbe algébrique réduite dans le plan projectif pondéré… (more)

Subjects/Keywords: Cohomologie; Plan projectif pondéré; Singularités quotient; Formes logarithmiques; Formule de type Adjonction; Formule de Noether; Genre; Invariant delta; Fibre de Milnor; Cohomology; Weighted projective plane; Abelian quotient singularity; Logarithmic forms; Adjunction-like formula; Noether's formula; Genus; Delta invariant; Milnor fiber.

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APA (6th Edition):

Ortigas Galindo, J. (2013). Invariants algébriques et topologiques des courbes et surfaces à singularités quotient : Algebraic and Topological Invariants of Curves and Surfaces with Quotient Singularities. (Doctoral Dissertation). Pau; Universidad de Zaragoza (Espagne). Retrieved from http://www.theses.fr/2013PAUU3011

Chicago Manual of Style (16th Edition):

Ortigas Galindo, Jorge. “Invariants algébriques et topologiques des courbes et surfaces à singularités quotient : Algebraic and Topological Invariants of Curves and Surfaces with Quotient Singularities.” 2013. Doctoral Dissertation, Pau; Universidad de Zaragoza (Espagne). Accessed July 03, 2020. http://www.theses.fr/2013PAUU3011.

MLA Handbook (7th Edition):

Ortigas Galindo, Jorge. “Invariants algébriques et topologiques des courbes et surfaces à singularités quotient : Algebraic and Topological Invariants of Curves and Surfaces with Quotient Singularities.” 2013. Web. 03 Jul 2020.

Vancouver:

Ortigas Galindo J. Invariants algébriques et topologiques des courbes et surfaces à singularités quotient : Algebraic and Topological Invariants of Curves and Surfaces with Quotient Singularities. [Internet] [Doctoral dissertation]. Pau; Universidad de Zaragoza (Espagne); 2013. [cited 2020 Jul 03]. Available from: http://www.theses.fr/2013PAUU3011.

Council of Science Editors:

Ortigas Galindo J. Invariants algébriques et topologiques des courbes et surfaces à singularités quotient : Algebraic and Topological Invariants of Curves and Surfaces with Quotient Singularities. [Doctoral Dissertation]. Pau; Universidad de Zaragoza (Espagne); 2013. Available from: http://www.theses.fr/2013PAUU3011


Brno University of Technology

19. Loučka, Pavel. Měření ovality extrudovaného vlákna: Extruded fibers ovality measurement.

Degree: 2019, Brno University of Technology

 One of the important parameters observed during extruded fibre fabrication is its diameter. The diameter can be measured with a single scanning camera assuming that… (more)

Subjects/Keywords: vlákno; ovalita; aplikace; lineární algebra; projektivní geometrie; euklidovská rovina; tečna; kuželosečka; elipsa; Brianchonova věta; princip duality; fibre; ovality; application; linear algebra; projective geometry; Euclidean plane; tangent; conic section; ellipse; Brianchon's theorem; duality principle

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Loučka, P. (2019). Měření ovality extrudovaného vlákna: Extruded fibers ovality measurement. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/66835

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Loučka, Pavel. “Měření ovality extrudovaného vlákna: Extruded fibers ovality measurement.” 2019. Thesis, Brno University of Technology. Accessed July 03, 2020. http://hdl.handle.net/11012/66835.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Loučka, Pavel. “Měření ovality extrudovaného vlákna: Extruded fibers ovality measurement.” 2019. Web. 03 Jul 2020.

Vancouver:

Loučka P. Měření ovality extrudovaného vlákna: Extruded fibers ovality measurement. [Internet] [Thesis]. Brno University of Technology; 2019. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/11012/66835.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Loučka P. Měření ovality extrudovaného vlákna: Extruded fibers ovality measurement. [Thesis]. Brno University of Technology; 2019. Available from: http://hdl.handle.net/11012/66835

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


University of Florida

20. Kenelly, John Willis, 1935- ( Dissertant ). An Involution of period seventeen.

Degree: 1961, University of Florida

In an extended complex plane with homogeneous coordinates

Subjects/Keywords: Coordinate planes; Coordinate systems; Geometric planes; Graduates; Homography; Hypersurfaces; Mathematics; Plane curves; Tangents; Vertices; Geometry, Projective; Mathematics thesis Ph. D

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Kenelly, John Willis, 1. (. D. ). (1961). An Involution of period seventeen. (Thesis). University of Florida. Retrieved from https://ufdc.ufl.edu/UF00097985

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Kenelly, John Willis, 1935- ( Dissertant ). “An Involution of period seventeen.” 1961. Thesis, University of Florida. Accessed July 03, 2020. https://ufdc.ufl.edu/UF00097985.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Kenelly, John Willis, 1935- ( Dissertant ). “An Involution of period seventeen.” 1961. Web. 03 Jul 2020.

Vancouver:

Kenelly, John Willis 1(D). An Involution of period seventeen. [Internet] [Thesis]. University of Florida; 1961. [cited 2020 Jul 03]. Available from: https://ufdc.ufl.edu/UF00097985.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Kenelly, John Willis 1(D). An Involution of period seventeen. [Thesis]. University of Florida; 1961. Available from: https://ufdc.ufl.edu/UF00097985

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

21. Campbell, Russell J. Finding obstructions within irreducible triangulations.

Degree: Department of Computer Science, 2017, University of Victoria

 The main results of this dissertation show evidence supporting the Successive Surface Scaffolding Conjecture. This is a new conjecture that, if true, guarantees the existence… (more)

Subjects/Keywords: graph theory; topological graph theory; obstruction; embedding algorithm; irreducible triangulation; torus; projective plane; Klein bottle

…triangulation of N2 . The minor-order projective-plane obstruction E2 . . . viii… …projective plane, N1 . The column labelled Mi gives the number of obstructions in Mi , but not in… …7.3 ([Sul06a]) Number of triangulations of the projective plane, N1… …occurrences of projective-plane obstructions within the irreducible triangulations of the Klein… …the occurrences of projective-plane obstructions within the irreducible triangulations of… 

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Campbell, R. J. (2017). Finding obstructions within irreducible triangulations. (Thesis). University of Victoria. Retrieved from http://hdl.handle.net/1828/8212

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Campbell, Russell J. “Finding obstructions within irreducible triangulations.” 2017. Thesis, University of Victoria. Accessed July 03, 2020. http://hdl.handle.net/1828/8212.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Campbell, Russell J. “Finding obstructions within irreducible triangulations.” 2017. Web. 03 Jul 2020.

Vancouver:

Campbell RJ. Finding obstructions within irreducible triangulations. [Internet] [Thesis]. University of Victoria; 2017. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/1828/8212.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Campbell RJ. Finding obstructions within irreducible triangulations. [Thesis]. University of Victoria; 2017. Available from: http://hdl.handle.net/1828/8212

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


University of Florida

22. Frank, Stanley, 1926-. Certain cyclic involutory mappings on hyperspace surfaces.

Degree: 1960, University of Florida

Subjects/Keywords: Algebra; Coincidence; Coordinate systems; Geometric lines; Hyperplanes; Mathematical variables; Plane curves; Tangent lines; Tangent planes; Tangents; Geometry, Projective; Mathematics thesis Ph. D; Surfaces

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Frank, Stanley, 1. (1960). Certain cyclic involutory mappings on hyperspace surfaces. (Thesis). University of Florida. Retrieved from https://ufdc.ufl.edu/AA00034947

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Frank, Stanley, 1926-. “Certain cyclic involutory mappings on hyperspace surfaces.” 1960. Thesis, University of Florida. Accessed July 03, 2020. https://ufdc.ufl.edu/AA00034947.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Frank, Stanley, 1926-. “Certain cyclic involutory mappings on hyperspace surfaces.” 1960. Web. 03 Jul 2020.

Vancouver:

Frank, Stanley 1. Certain cyclic involutory mappings on hyperspace surfaces. [Internet] [Thesis]. University of Florida; 1960. [cited 2020 Jul 03]. Available from: https://ufdc.ufl.edu/AA00034947.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Frank, Stanley 1. Certain cyclic involutory mappings on hyperspace surfaces. [Thesis]. University of Florida; 1960. Available from: https://ufdc.ufl.edu/AA00034947

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.