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You searched for subject:(poset topology). Showing records 1 – 5 of 5 total matches.

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1. McConville, Thomas. Biclosed sets in Combinatorics.

Degree: PhD, Mathematics, 2015, University of Minnesota

 The weak order is the set of permutations of [n] partially ordered by inclusion of inversion sets. This partial order arises naturally in various contexts,… (more)

Subjects/Keywords: hyperplane arrangement; lattice; poset topology

…Hence, we refer to the topology of a poset as the topology of its order complex. Moreover, the… …topology of open intervals of a poset P completely determines the local topology of ∆(P… …contractible intervals of Gal(A, r0 ). By a general poset topology result, this in turn… …for arrangements are covered in §3.2. 2.1 Poset Topology A poset (P, ≤) is a… …define the topology of a poset to be that of its order complex. The link of a face x0… 

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APA (6th Edition):

McConville, T. (2015). Biclosed sets in Combinatorics. (Doctoral Dissertation). University of Minnesota. Retrieved from http://hdl.handle.net/11299/175256

Chicago Manual of Style (16th Edition):

McConville, Thomas. “Biclosed sets in Combinatorics.” 2015. Doctoral Dissertation, University of Minnesota. Accessed March 30, 2020. http://hdl.handle.net/11299/175256.

MLA Handbook (7th Edition):

McConville, Thomas. “Biclosed sets in Combinatorics.” 2015. Web. 30 Mar 2020.

Vancouver:

McConville T. Biclosed sets in Combinatorics. [Internet] [Doctoral dissertation]. University of Minnesota; 2015. [cited 2020 Mar 30]. Available from: http://hdl.handle.net/11299/175256.

Council of Science Editors:

McConville T. Biclosed sets in Combinatorics. [Doctoral Dissertation]. University of Minnesota; 2015. Available from: http://hdl.handle.net/11299/175256


Penn State University

2. Mummert, Carl. On the Reverse Mathematics of General Topology.

Degree: PhD, Mathematics, 2005, Penn State University

  This thesis presents a formalization of general topology in second-order arithmetic. Topological spaces are represented as spaces of filters on partially ordered sets. If… (more)

Subjects/Keywords: Reverse Mathematics; poset space; general topology; second-order arithmetic

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APA (6th Edition):

Mummert, C. (2005). On the Reverse Mathematics of General Topology. (Doctoral Dissertation). Penn State University. Retrieved from https://etda.libraries.psu.edu/catalog/6609

Chicago Manual of Style (16th Edition):

Mummert, Carl. “On the Reverse Mathematics of General Topology.” 2005. Doctoral Dissertation, Penn State University. Accessed March 30, 2020. https://etda.libraries.psu.edu/catalog/6609.

MLA Handbook (7th Edition):

Mummert, Carl. “On the Reverse Mathematics of General Topology.” 2005. Web. 30 Mar 2020.

Vancouver:

Mummert C. On the Reverse Mathematics of General Topology. [Internet] [Doctoral dissertation]. Penn State University; 2005. [cited 2020 Mar 30]. Available from: https://etda.libraries.psu.edu/catalog/6609.

Council of Science Editors:

Mummert C. On the Reverse Mathematics of General Topology. [Doctoral Dissertation]. Penn State University; 2005. Available from: https://etda.libraries.psu.edu/catalog/6609


Harvard University

3. Brantner, David Lukas Benjamin. The Lubin-Tate Theory of Spectral Lie Algebras.

Degree: PhD, 2017, Harvard University

We use equivariant discrete Morse theory to establish a general technique in poset topology and demonstrate its applicability by computing various equivariant properties of the… (more)

Subjects/Keywords: Morava E-theory; Lubin-Tate space; spectral Lie algebras; poset topology; discrete Morse theory; Andre-Quillen homology; monoids; Koszul duality

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APA (6th Edition):

Brantner, D. L. B. (2017). The Lubin-Tate Theory of Spectral Lie Algebras. (Doctoral Dissertation). Harvard University. Retrieved from http://nrs.harvard.edu/urn-3:HUL.InstRepos:41140243

Chicago Manual of Style (16th Edition):

Brantner, David Lukas Benjamin. “The Lubin-Tate Theory of Spectral Lie Algebras.” 2017. Doctoral Dissertation, Harvard University. Accessed March 30, 2020. http://nrs.harvard.edu/urn-3:HUL.InstRepos:41140243.

MLA Handbook (7th Edition):

Brantner, David Lukas Benjamin. “The Lubin-Tate Theory of Spectral Lie Algebras.” 2017. Web. 30 Mar 2020.

Vancouver:

Brantner DLB. The Lubin-Tate Theory of Spectral Lie Algebras. [Internet] [Doctoral dissertation]. Harvard University; 2017. [cited 2020 Mar 30]. Available from: http://nrs.harvard.edu/urn-3:HUL.InstRepos:41140243.

Council of Science Editors:

Brantner DLB. The Lubin-Tate Theory of Spectral Lie Algebras. [Doctoral Dissertation]. Harvard University; 2017. Available from: http://nrs.harvard.edu/urn-3:HUL.InstRepos:41140243


University of Kentucky

4. Brown, Tricia Muldoon. Rees Products of Posets and Inequalities.

Degree: 2009, University of Kentucky

 In this dissertation we will look at properties of two different posets from different perspectives. The first poset is the Rees product of the face… (more)

Subjects/Keywords: algebraic combinatorics|commutative algebra|Möbius function|poset topology|representation theory; Algebra; Mathematics

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APA (6th Edition):

Brown, T. M. (2009). Rees Products of Posets and Inequalities. (Doctoral Dissertation). University of Kentucky. Retrieved from https://uknowledge.uky.edu/gradschool_diss/722

Chicago Manual of Style (16th Edition):

Brown, Tricia Muldoon. “Rees Products of Posets and Inequalities.” 2009. Doctoral Dissertation, University of Kentucky. Accessed March 30, 2020. https://uknowledge.uky.edu/gradschool_diss/722.

MLA Handbook (7th Edition):

Brown, Tricia Muldoon. “Rees Products of Posets and Inequalities.” 2009. Web. 30 Mar 2020.

Vancouver:

Brown TM. Rees Products of Posets and Inequalities. [Internet] [Doctoral dissertation]. University of Kentucky; 2009. [cited 2020 Mar 30]. Available from: https://uknowledge.uky.edu/gradschool_diss/722.

Council of Science Editors:

Brown TM. Rees Products of Posets and Inequalities. [Doctoral Dissertation]. University of Kentucky; 2009. Available from: https://uknowledge.uky.edu/gradschool_diss/722

5. Cai, Yue. New Perspectives of Quantum Analogues.

Degree: 2016, University of Kentucky

 In this dissertation we discuss three problems. We first show the classical q-Stirling numbers of the second kind can be expressed more compactly as a… (more)

Subjects/Keywords: q-Stirling numbers; poset topology; cyclic sieving phenomenon; symmetric functions; major index; Discrete Mathematics and Combinatorics

…a poset, which has various applications in poset topology. We now introduce some basic… …1.8 The boundary of a triangle, its face poset, and the order complex of the face poset… …face poset with two critical cells. . . . . . . . . . . . . . 1.10 An element c of order 4… …Stirling poset (5, 2). . . . . . . . . . . . . . . . . . The Stirling poset (5… …decomposition of the Stirling poset (5, 2) into Boolean algebras Bi for i = 0, 1, 2, 3… 

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

APA (6th Edition):

Cai, Y. (2016). New Perspectives of Quantum Analogues. (Doctoral Dissertation). University of Kentucky. Retrieved from https://uknowledge.uky.edu/math_etds/34

Chicago Manual of Style (16th Edition):

Cai, Yue. “New Perspectives of Quantum Analogues.” 2016. Doctoral Dissertation, University of Kentucky. Accessed March 30, 2020. https://uknowledge.uky.edu/math_etds/34.

MLA Handbook (7th Edition):

Cai, Yue. “New Perspectives of Quantum Analogues.” 2016. Web. 30 Mar 2020.

Vancouver:

Cai Y. New Perspectives of Quantum Analogues. [Internet] [Doctoral dissertation]. University of Kentucky; 2016. [cited 2020 Mar 30]. Available from: https://uknowledge.uky.edu/math_etds/34.

Council of Science Editors:

Cai Y. New Perspectives of Quantum Analogues. [Doctoral Dissertation]. University of Kentucky; 2016. Available from: https://uknowledge.uky.edu/math_etds/34

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