subject:(infinite dimensional manifolds)

Oregon State University

1. Rohm, Dale M. Alternative characterizations of weak infinite-dimensionality and their relation to a problem of Alexandroff's.

Degree: PhD, Mathematics, 1987, Oregon State University

URL: http://hdl.handle.net/1957/16822

► The classical dimension theories of Menger-Urysohn and Lebesgue are equivalent on metric spaces. However, their infinite-dimensional analogues may differ, even on compact metric spaces. The… (more)

Subjects/Keywords: Infinite-dimensional manifolds

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APA (6^th Edition):

Rohm, D. M. (1987). Alternative characterizations of weak infinite-dimensionality and their relation to a problem of Alexandroff's. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/16822

Chicago Manual of Style (16^th Edition):

Rohm, Dale M. “Alternative characterizations of weak infinite-dimensionality and their relation to a problem of Alexandroff's.” 1987. Doctoral Dissertation, Oregon State University. Accessed January 19, 2021. http://hdl.handle.net/1957/16822.

MLA Handbook (7^th Edition):

Rohm, Dale M. “Alternative characterizations of weak infinite-dimensionality and their relation to a problem of Alexandroff's.” 1987. Web. 19 Jan 2021.

Vancouver:

Rohm DM. Alternative characterizations of weak infinite-dimensionality and their relation to a problem of Alexandroff's. [Internet] [Doctoral dissertation]. Oregon State University; 1987. [cited 2021 Jan 19]. Available from: http://hdl.handle.net/1957/16822.

Council of Science Editors:

Rohm DM. Alternative characterizations of weak infinite-dimensionality and their relation to a problem of Alexandroff's. [Doctoral Dissertation]. Oregon State University; 1987. Available from: http://hdl.handle.net/1957/16822

University of Missouri – Columbia

2. Brown, James Ryan, 1977-. Complex and almost-complex structures on six dimensional manifolds.

Degree: PhD, 2006, University of Missouri – Columbia

URL: https://doi.org/10.32469/10355/4466

► We investigate the properties of hypothetical exotic complex structures on three dimensional complex projective space CP³. This is motivated by the long standing question in… (more)

Subjects/Keywords: Geometry, Differential; Almost complex manifolds; Infinite-dimensional manifolds

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APA (6^th Edition):

Brown, James Ryan, 1. (2006). Complex and almost-complex structures on six dimensional manifolds. (Doctoral Dissertation). University of Missouri – Columbia. Retrieved from https://doi.org/10.32469/10355/4466

Chicago Manual of Style (16^th Edition):

Brown, James Ryan, 1977-. “Complex and almost-complex structures on six dimensional manifolds.” 2006. Doctoral Dissertation, University of Missouri – Columbia. Accessed January 19, 2021. https://doi.org/10.32469/10355/4466.

MLA Handbook (7^th Edition):

Brown, James Ryan, 1977-. “Complex and almost-complex structures on six dimensional manifolds.” 2006. Web. 19 Jan 2021.

Vancouver:

Brown, James Ryan 1. Complex and almost-complex structures on six dimensional manifolds. [Internet] [Doctoral dissertation]. University of Missouri – Columbia; 2006. [cited 2021 Jan 19]. Available from: https://doi.org/10.32469/10355/4466.

Council of Science Editors:

Brown, James Ryan 1. Complex and almost-complex structures on six dimensional manifolds. [Doctoral Dissertation]. University of Missouri – Columbia; 2006. Available from: https://doi.org/10.32469/10355/4466

University of Arizona

3. PICKRELL, DOUGLAS MURRAY. SPIN EXTENSIONS AND MEASURES ON INFINITE DIMENSIONAL GRASSMANN MANIFOLDS.

Degree: 1984, University of Arizona

URL: http://hdl.handle.net/10150/187705

► The representation theory of infinite dimensional groups is in its infancy. This paper is an attempt to apply the orbit method to a particular infinite… (more)

Subjects/Keywords: Grassmann manifolds.; Homogeneous spaces.; Infinite-dimensional manifolds.; Lie algebras.

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APA (6^th Edition):

PICKRELL, D. M. (1984). SPIN EXTENSIONS AND MEASURES ON INFINITE DIMENSIONAL GRASSMANN MANIFOLDS. (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/187705

Chicago Manual of Style (16^th Edition):

PICKRELL, DOUGLAS MURRAY. “SPIN EXTENSIONS AND MEASURES ON INFINITE DIMENSIONAL GRASSMANN MANIFOLDS. ” 1984. Doctoral Dissertation, University of Arizona. Accessed January 19, 2021. http://hdl.handle.net/10150/187705.

MLA Handbook (7^th Edition):

PICKRELL, DOUGLAS MURRAY. “SPIN EXTENSIONS AND MEASURES ON INFINITE DIMENSIONAL GRASSMANN MANIFOLDS. ” 1984. Web. 19 Jan 2021.

Vancouver:

PICKRELL DM. SPIN EXTENSIONS AND MEASURES ON INFINITE DIMENSIONAL GRASSMANN MANIFOLDS. [Internet] [Doctoral dissertation]. University of Arizona; 1984. [cited 2021 Jan 19]. Available from: http://hdl.handle.net/10150/187705.

Council of Science Editors:

PICKRELL DM. SPIN EXTENSIONS AND MEASURES ON INFINITE DIMENSIONAL GRASSMANN MANIFOLDS. [Doctoral Dissertation]. University of Arizona; 1984. Available from: http://hdl.handle.net/10150/187705

University of Adelaide

4. Schlegel, Vincent Sebastian. The Caloron correspondence and odd differential k-theory.

Degree: 2013, University of Adelaide

URL: http://hdl.handle.net/2440/83273

► The caloron correspondence (introduced in [32] and generalised in [25, 33, 41]) is a tool that gives an equivalence between principal G-bundles based over the… (more)

Subjects/Keywords: infinite-dimensional manifolds; loop groups; caloron correspondence; principal bundles; Chern-Simons forms; string classes; K-theory; differential K-theory

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APA (6^th Edition):

Schlegel, V. S. (2013). The Caloron correspondence and odd differential k-theory. (Thesis). University of Adelaide. Retrieved from http://hdl.handle.net/2440/83273

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

Chicago Manual of Style (16^th Edition):

Schlegel, Vincent Sebastian. “The Caloron correspondence and odd differential k-theory.” 2013. Thesis, University of Adelaide. Accessed January 19, 2021. http://hdl.handle.net/2440/83273.

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

MLA Handbook (7^th Edition):

Schlegel, Vincent Sebastian. “The Caloron correspondence and odd differential k-theory.” 2013. Web. 19 Jan 2021.

Vancouver:

Schlegel VS. The Caloron correspondence and odd differential k-theory. [Internet] [Thesis]. University of Adelaide; 2013. [cited 2021 Jan 19]. Available from: http://hdl.handle.net/2440/83273.

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

Council of Science Editors:

Schlegel VS. The Caloron correspondence and odd differential k-theory. [Thesis]. University of Adelaide; 2013. Available from: http://hdl.handle.net/2440/83273

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

5. Takata, Doman. A Loop Group Equivariant Analytic Index Theory for Infinite-dimensional Manifolds .

Degree: 2018, Kyoto University

URL: http://hdl.handle.net/2433/232217

Subjects/Keywords: infinite-dimensional manifolds; loop groups; Dirac operators; assembly maps; KK-theory; index theory

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APA (6^th Edition):

Takata, D. (2018). A Loop Group Equivariant Analytic Index Theory for Infinite-dimensional Manifolds . (Thesis). Kyoto University. Retrieved from http://hdl.handle.net/2433/232217

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

Chicago Manual of Style (16^th Edition):

Takata, Doman. “A Loop Group Equivariant Analytic Index Theory for Infinite-dimensional Manifolds .” 2018. Thesis, Kyoto University. Accessed January 19, 2021. http://hdl.handle.net/2433/232217.

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

MLA Handbook (7^th Edition):

Takata, Doman. “A Loop Group Equivariant Analytic Index Theory for Infinite-dimensional Manifolds .” 2018. Web. 19 Jan 2021.

Vancouver:

Takata D. A Loop Group Equivariant Analytic Index Theory for Infinite-dimensional Manifolds . [Internet] [Thesis]. Kyoto University; 2018. [cited 2021 Jan 19]. Available from: http://hdl.handle.net/2433/232217.

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

Council of Science Editors:

Takata D. A Loop Group Equivariant Analytic Index Theory for Infinite-dimensional Manifolds . [Thesis]. Kyoto University; 2018. Available from: http://hdl.handle.net/2433/232217

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

6. JOSÉ VICTOR GOULART NASCIMENTO. [en] TOWARDS A COMBINATORIAL APPROACH TO THE TOPOLOGY OF SPACES OF NONDEGENERATE SPHERICAL CURVES.

Degree: 2016, Pontifical Catholic University of Rio de Janeiro

URL: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=27868

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[pt] Decompõe-se o espaço das curvas não-degeneradas sobre a n-esfera sujeitas a uma dada matriz de monodromia (munido de uma estrutura de variedade de Hilbert… (more)

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[pt] Decompõe-se o espaço das curvas não-degeneradas sobre a n-esfera sujeitas a uma dada matriz de monodromia (munido de uma estrutura de variedade de Hilbert adequada) em uma coleção enumerável de células contráteis parametrizadas pelos itinerários admissíveis para os levantamentos a SOn+1 das referidas curvas através das células obtidas de uma estratificação de SOn+1 estreitamente relacionada com a clássica decomposição de Bruhat de GLn+1. A expressão itinerário admissível significa aqui uma sequência finita de células sujeitas a umas poucas restrições que, ademais, são naturalmente insinuadas pela geometria do problema. O principal interesse dessa nova abordagem é que essa combinatorialização funciona homogeneamente em todas as dimensões n (não obstante óbvias dificuldades computacionais), diferentemente dos métodos ad-hoc, de cunho mais geométrico, até aqui empregados para obter informações topológicas sobre esses e outros espaços de curvas relacionados (que têm sido bem sucedidos apenas em dimensões n baixas). Essa abordagem pode ser considerada como uma primeira tentativa de chegar a um método unificado para a determinação do tipo homotópico de tais espaços, e ajuda a dispensar certos argumentos de análise funcional usualmente empregados na definição da topologia correta para os referidos espaços de curvas.

[en] The space of nondegenerate curves on the n-sphere subject to a fixed monodromy matrix (provided with a suitable Hilbert manifold structure) is decomposed into a countable collection of contractible cells parameterized by the SOn+1-lifted curves admissible itineraries through cells arriving from a stratification of SOn+1 closely related to the classical Bruhat decomposition of GLn+1. The expression admissible itinerary herein stands for a finite sequence of cells subject to a few constraints that are otherwise naturally suggested by the geometry of the problem. The main interest of such a new approach is that this combinatorialization works homogeneously in any dimension n (with obvious computational difficulties), unlike the more geometry-flavoured ad-hoc methods for achieving topological information about these and related spaces of curves (which usually have had a good run only in low dimensions n). This approach can be regarded as a first attempt at a unified method for figuring out the homotopy-type of such spaces, and it helps to override some functional analysis arguments usually deployed in defining the right topology for these spaces of curves.

Advisors/Committee Members: NICOLAU CORCAO SALDANHA.

Subjects/Keywords: [pt] TOPOLOGIA DE VARIEDADES DE DIMENSAO INFINITA; [en] TOPOLOGY OF INFINITE-DIMENSIONAL MANIFOLDS; [pt] CURVA NAO-DEGENERADA; [en] NONDEGENERATE CURVE; [pt] DECOMPOSICAO DE BRUHAT; [en] BRUHAT DECOMPOSITION; [pt] GRUPO DE COXETER-WEYL; [en] COXETER-WEYL GROUP

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APA (6^th Edition):

NASCIMENTO, J. V. G. (2016). [en] TOWARDS A COMBINATORIAL APPROACH TO THE TOPOLOGY OF SPACES OF NONDEGENERATE SPHERICAL CURVES. (Thesis). Pontifical Catholic University of Rio de Janeiro. Retrieved from http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=27868

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

Chicago Manual of Style (16^th Edition):

NASCIMENTO, JOSÉ VICTOR GOULART. “[en] TOWARDS A COMBINATORIAL APPROACH TO THE TOPOLOGY OF SPACES OF NONDEGENERATE SPHERICAL CURVES.” 2016. Thesis, Pontifical Catholic University of Rio de Janeiro. Accessed January 19, 2021. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=27868.

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

MLA Handbook (7^th Edition):

NASCIMENTO, JOSÉ VICTOR GOULART. “[en] TOWARDS A COMBINATORIAL APPROACH TO THE TOPOLOGY OF SPACES OF NONDEGENERATE SPHERICAL CURVES.” 2016. Web. 19 Jan 2021.

Vancouver:

NASCIMENTO JVG. [en] TOWARDS A COMBINATORIAL APPROACH TO THE TOPOLOGY OF SPACES OF NONDEGENERATE SPHERICAL CURVES. [Internet] [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2016. [cited 2021 Jan 19]. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=27868.

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

Council of Science Editors:

NASCIMENTO JVG. [en] TOWARDS A COMBINATORIAL APPROACH TO THE TOPOLOGY OF SPACES OF NONDEGENERATE SPHERICAL CURVES. [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2016. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=27868

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

Georgia Tech

7. Lessard, Jean-Philippe. Validated Continuation for Infinite Dimensional Problems.

Degree: PhD, Mathematics, 2007, Georgia Tech

URL: http://hdl.handle.net/1853/19861

► Studying the zeros of a parameter dependent operator F defined on a Hilbert space H is a fundamental problem in mathematics. When the Hilbert space… (more)

Subjects/Keywords: Continuation; Equilibria of PDEs; Chaos in ODEs; Periodic solutions of delay equations; Infinite-dimensional manifolds; Stochastic partial differential equations; Continuation methods; Differential equations, Partial

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

APA (6^th Edition):

Lessard, J. (2007). Validated Continuation for Infinite Dimensional Problems. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/19861

Chicago Manual of Style (16^th Edition):

Lessard, Jean-Philippe. “Validated Continuation for Infinite Dimensional Problems.” 2007. Doctoral Dissertation, Georgia Tech. Accessed January 19, 2021. http://hdl.handle.net/1853/19861.

MLA Handbook (7^th Edition):

Lessard, Jean-Philippe. “Validated Continuation for Infinite Dimensional Problems.” 2007. Web. 19 Jan 2021.

Vancouver:

Lessard J. Validated Continuation for Infinite Dimensional Problems. [Internet] [Doctoral dissertation]. Georgia Tech; 2007. [cited 2021 Jan 19]. Available from: http://hdl.handle.net/1853/19861.

Council of Science Editors:

Lessard J. Validated Continuation for Infinite Dimensional Problems. [Doctoral Dissertation]. Georgia Tech; 2007. Available from: http://hdl.handle.net/1853/19861

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