A sequência espectral de Serre
| Ano de defesa: | 2020 |
|---|---|
| Autor(a) principal: | |
| Orientador(a): | |
| Banca de defesa: | |
| Tipo de documento: | Dissertação |
| Tipo de acesso: | Acesso aberto |
| Idioma: | por |
| Instituição de defesa: |
Universidade Estadual Paulista (Unesp)
|
| Programa de Pós-Graduação: |
Não Informado pela instituição
|
| Departamento: |
Não Informado pela instituição
|
| País: |
Não Informado pela instituição
|
| Palavras-chave em Português: | |
| Palavras-chave em Inglês: | |
| Link de acesso: | http://hdl.handle.net/11449/202827 |
Resumo: | Nessa dissertação, estudamos a construção da sequência espectral de Serre associada a uma fibração. Para culminar em sua formulação, passamos por tópicos da Topologia Algébrica taiscomo álgebra homológica, grupos de homotopia, grupos de homologia e de cohomologia, sis-temas de coeficientes locais e grupos de homologia e cohomologia com coeficientes locais. |
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Repositório Institucional da UNESP |
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Martins, Matheus Henrique [UNESP]Universidade Estadual Paulista (Unesp)Vieira, João PeresSilveira, Mariana Rodrigues daMonis, Thaís Fernanda Mendes [UNESP]2021-03-02T23:27:44Z2021-03-02T23:27:44Z2020-04-08http://hdl.handle.net/11449/20282733004153071P0Nessa dissertação, estudamos a construção da sequência espectral de Serre associada a uma fibração. Para culminar em sua formulação, passamos por tópicos da Topologia Algébrica taiscomo álgebra homológica, grupos de homotopia, grupos de homologia e de cohomologia, sis-temas de coeficientes locais e grupos de homologia e cohomologia com coeficientes locais.In the present dissertation, we study the construction of the Serre spectral sequence associated to a fibration. In order to get its formulation, we first developed topics in Algebraic Topology such as homological algebra, homotopy groups, homology and cohomology groups, system of local coefficients, and homology and cohomology groups with local coefficients.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)porUniversidade Estadual Paulista (Unesp)Cohomologia de gruposFibraçãoSequência espectral (Matematica)Topologia algébricaAlgebraic topologyCohomology operationsSpectral sequenceFibrationA sequência espectral de SerreThe Serre Spectral Sequenceinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPMatemática - IBILCEGeometria e sistemas dinâmicosTopologia algébricaUniversidade Estadual Paulista (UNESP), Instituto de Biociências Letras e Ciências Exatas, São José do Rio PretoOnlineBanca públicaPublication43c38943-bd6f-4fb6-a9a5-8482a1f632c0virtual::296678-143c38943-bd6f-4fb6-a9a5-8482a1f632c0virtual::296678-14782a4c4-7fef-42fc-b83d-1a732f91b4c4virtual::272573-14782a4c4-7fef-42fc-b83d-1a732f91b4c4virtual::272573-1THUMBNAILmartins_mh_me_sjrp.pdf.jpgWritten by FormatFilter org.dspace.app.mediafilter.PDFBoxThumbnail on 2023-11-29T06:19:13Z (GMT).Generated Thumbnailimage/jpeg2662https://repositorio.unesp.br/bitstreams/930bfe18-8abd-4d99-a8bb-b2eac8df1d1c/downloadc8fea6356942c23a36618c07166d69f4MD55falseAnonymousREADORIGINALmartins_mh_me_sjrp.pdfmartins_mh_me_sjrp.pdfapplication/pdf546237https://repositorio.unesp.br/bitstreams/a347458d-485f-48a8-bc9b-f35df1b308d8/download1caa14532bda4f31b4cee097cc22c48fMD53trueAnonymousREADLICENSElicense.txtWritten by org.dspace.content.LicenseUtilstext/plain; 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| dc.title.pt.fl_str_mv |
A sequência espectral de Serre |
| dc.title.alternative.en.fl_str_mv |
The Serre Spectral Sequence |
| title |
A sequência espectral de Serre |
| spellingShingle |
A sequência espectral de Serre Martins, Matheus Henrique [UNESP] Cohomologia de grupos Fibração Sequência espectral (Matematica) Topologia algébrica Algebraic topology Cohomology operations Spectral sequence Fibration |
| title_short |
A sequência espectral de Serre |
| title_full |
A sequência espectral de Serre |
| title_fullStr |
A sequência espectral de Serre |
| title_full_unstemmed |
A sequência espectral de Serre |
| title_sort |
A sequência espectral de Serre |
| author |
Martins, Matheus Henrique [UNESP] |
| author_facet |
Martins, Matheus Henrique [UNESP] |
| author_role |
author |
| dc.contributor.institution.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
| dc.contributor.committeeMember.none.fl_str_mv |
Vieira, João Peres Silveira, Mariana Rodrigues da |
| dc.contributor.author.fl_str_mv |
Martins, Matheus Henrique [UNESP] |
| dc.contributor.advisor1.fl_str_mv |
Monis, Thaís Fernanda Mendes [UNESP] |
| contributor_str_mv |
Monis, Thaís Fernanda Mendes [UNESP] |
| dc.subject.por.fl_str_mv |
Cohomologia de grupos Fibração Sequência espectral (Matematica) Topologia algébrica |
| topic |
Cohomologia de grupos Fibração Sequência espectral (Matematica) Topologia algébrica Algebraic topology Cohomology operations Spectral sequence Fibration |
| dc.subject.eng.fl_str_mv |
Algebraic topology Cohomology operations Spectral sequence Fibration |
| description |
Nessa dissertação, estudamos a construção da sequência espectral de Serre associada a uma fibração. Para culminar em sua formulação, passamos por tópicos da Topologia Algébrica taiscomo álgebra homológica, grupos de homotopia, grupos de homologia e de cohomologia, sis-temas de coeficientes locais e grupos de homologia e cohomologia com coeficientes locais. |
| publishDate |
2020 |
| dc.date.issued.fl_str_mv |
2020-04-08 |
| dc.date.accessioned.fl_str_mv |
2021-03-02T23:27:44Z |
| dc.date.available.fl_str_mv |
2021-03-02T23:27:44Z |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/masterThesis |
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masterThesis |
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publishedVersion |
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http://hdl.handle.net/11449/202827 |
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33004153071P0 |
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http://hdl.handle.net/11449/202827 |
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33004153071P0 |
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por |
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por |
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info:eu-repo/semantics/openAccess |
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openAccess |
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Universidade Estadual Paulista (Unesp) |
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Universidade Estadual Paulista (Unesp) |
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