Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam

Detalhes bibliográficos
Autor(a) principal: Pereiro, Carolina de Miranda e
Data de Publicação: 2011
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFSCAR
Texto Completo: https://repositorio.ufscar.br/handle/ufscar/10699
Resumo: The objetive of this work is to generalize the classic Borsuk-Ulam's Theorem. We studied there generalizations with respect to any comapact and Hausdor T- space. We used in the proofs the Z2-index of Yang and the B-index. In general lines, we obtained many di erent ways of generalizing the same theorem
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spelling Pereiro, Carolina de Miranda eFigueira, Fábio Gomeshttp://lattes.cnpq.br/4114509001653395http://lattes.cnpq.br/186822907578143779adab09-c14c-4bc1-ab10-385d29c433032018-11-23T12:25:03Z2018-11-23T12:25:03Z2011-02-20PEREIRO, Carolina de Miranda e. Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam. 2011. Dissertação (Mestrado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2011. Disponível em: https://repositorio.ufscar.br/handle/ufscar/10699.https://repositorio.ufscar.br/handle/ufscar/10699The objetive of this work is to generalize the classic Borsuk-Ulam's Theorem. We studied there generalizations with respect to any comapact and Hausdor T- space. We used in the proofs the Z2-index of Yang and the B-index. In general lines, we obtained many di erent ways of generalizing the same theoremO objetivo deste trabalho é generalizar o Teorema de Borsuk-Ulam clássico. Estudamos generalizações feitas com respeito a um T-espaço compacto e de Hausdor . E utilizamos o Z2-índice de Yang e o B-índice nas demonstrações. E com isso, conseguimos várias maneiras diferentes de generalizar o mesmo teorema.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)FAPESP: 2008/57009-1porUniversidade Federal de São CarlosCâmpus São CarlosPrograma de Pós-Graduação em Matemática - PPGMUFSCarTopologia algébricaTeoria de homologiaÍndices de YangAlgebraic topologyTheory homologyIndex of YangCIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIAAspectos homológicos e homotópicos do teorema de Borsuk-Ulaminfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisOnline600600cb2f022d-f2de-454f-8e26-997894a9e5eainfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFSCARinstname:Universidade Federal de São Carlos (UFSCAR)instacron:UFSCARORIGINALDissCMP.pdfDissCMP.pdfapplication/pdf495490https://repositorio.ufscar.br/bitstream/ufscar/10699/1/DissCMP.pdf2ddda2be73df3817827421a6e79296d4MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81957https://repositorio.ufscar.br/bitstream/ufscar/10699/2/license.txtae0398b6f8b235e40ad82cba6c50031dMD52TEXTDissCMP.pdf.txtDissCMP.pdf.txtExtracted texttext/plain74899https://repositorio.ufscar.br/bitstream/ufscar/10699/3/DissCMP.pdf.txt4ec2702bd47b17b600fbfa6dcfb18b19MD53THUMBNAILDissCMP.pdf.jpgDissCMP.pdf.jpgIM Thumbnailimage/jpeg7207https://repositorio.ufscar.br/bitstream/ufscar/10699/4/DissCMP.pdf.jpg2959a18f70cc8353cea3ac1917f84c4cMD54ufscar/106992023-09-18 18:31:17.9oai:repositorio.ufscar.br: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Repositório InstitucionalPUBhttps://repositorio.ufscar.br/oai/requestopendoar:43222023-09-18T18:31:17Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR)false
dc.title.por.fl_str_mv Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam
title Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam
spellingShingle Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam
Pereiro, Carolina de Miranda e
Topologia algébrica
Teoria de homologia
Índices de Yang
Algebraic topology
Theory homology
Index of Yang
CIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIA
title_short Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam
title_full Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam
title_fullStr Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam
title_full_unstemmed Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam
title_sort Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam
author Pereiro, Carolina de Miranda e
author_facet Pereiro, Carolina de Miranda e
author_role author
dc.contributor.authorlattes.por.fl_str_mv http://lattes.cnpq.br/1868229075781437
dc.contributor.author.fl_str_mv Pereiro, Carolina de Miranda e
dc.contributor.advisor1.fl_str_mv Figueira, Fábio Gomes
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/4114509001653395
dc.contributor.authorID.fl_str_mv 79adab09-c14c-4bc1-ab10-385d29c43303
contributor_str_mv Figueira, Fábio Gomes
dc.subject.por.fl_str_mv Topologia algébrica
Teoria de homologia
Índices de Yang
topic Topologia algébrica
Teoria de homologia
Índices de Yang
Algebraic topology
Theory homology
Index of Yang
CIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIA
dc.subject.eng.fl_str_mv Algebraic topology
Theory homology
Index of Yang
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIA
description The objetive of this work is to generalize the classic Borsuk-Ulam's Theorem. We studied there generalizations with respect to any comapact and Hausdor T- space. We used in the proofs the Z2-index of Yang and the B-index. In general lines, we obtained many di erent ways of generalizing the same theorem
publishDate 2011
dc.date.issued.fl_str_mv 2011-02-20
dc.date.accessioned.fl_str_mv 2018-11-23T12:25:03Z
dc.date.available.fl_str_mv 2018-11-23T12:25:03Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv PEREIRO, Carolina de Miranda e. Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam. 2011. Dissertação (Mestrado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2011. Disponível em: https://repositorio.ufscar.br/handle/ufscar/10699.
dc.identifier.uri.fl_str_mv https://repositorio.ufscar.br/handle/ufscar/10699
identifier_str_mv PEREIRO, Carolina de Miranda e. Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam. 2011. Dissertação (Mestrado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2011. Disponível em: https://repositorio.ufscar.br/handle/ufscar/10699.
url https://repositorio.ufscar.br/handle/ufscar/10699
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Matemática - PPGM
dc.publisher.initials.fl_str_mv UFSCar
publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
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