Fixed points on trivial surface bundles over a connected CW-complex

Detalhes bibliográficos
Autor(a) principal: Gonçalves, Daciberg Lima
Data de Publicação: 2015
Outros Autores: Libardi, Alice Kimie Miwa [UNESP], Penteado, Dirceu, Vieira, João Peres [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.5486/PMD.2015.7198
http://hdl.handle.net/11449/176815
Resumo: The main purpose of this work is to study fixed points of fibre-preserving maps over a connected CW-complex B on the trivial surface bundles B×S where S is a closed surface of negative Euler characteristic. The case where B = S1 and S is equal to S2, i.e., the closed orientable surface of genus 2, is already known. We classify all such maps that can be deformed fibrewise to a fixed point free map.
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spelling Fixed points on trivial surface bundles over a connected CW-complexBraidsFibre bundleFibrewise maps and homotopyFixed pointSurfaceThe main purpose of this work is to study fixed points of fibre-preserving maps over a connected CW-complex B on the trivial surface bundles B×S where S is a closed surface of negative Euler characteristic. The case where B = S1 and S is equal to S2, i.e., the closed orientable surface of genus 2, is already known. We classify all such maps that can be deformed fibrewise to a fixed point free map.Department De Matemática IME - USP, Caixa Postal 66.281Departamento De Matemática Universidade Federal LUIZ KM 235, De São Carlos Rodovia WashingtonDepartamento De Matemática I.G.C.E - Unesp Univ Estadual, Paulista caixa postal 178 rio claroDepartamento De Matemática I.G.C.E - Unesp Univ Estadual, Paulista caixa postal 178 rio claroUniversidade de São Paulo (USP)LUIZ KM 235Universidade Estadual Paulista (Unesp)Gonçalves, Daciberg LimaLibardi, Alice Kimie Miwa [UNESP]Penteado, DirceuVieira, João Peres [UNESP]2018-12-11T17:22:36Z2018-12-11T17:22:36Z2015-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article371-384application/pdfhttp://dx.doi.org/10.5486/PMD.2015.7198Publicationes Mathematicae, v. 87, n. 3-4, p. 371-384, 2015.0033-3883http://hdl.handle.net/11449/17681510.5486/PMD.2015.71982-s2.0-850529965332-s2.0-85052996533.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPublicationes Mathematicae0,369info:eu-repo/semantics/openAccess2024-01-22T06:21:33Zoai:repositorio.unesp.br:11449/176815Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-22T06:21:33Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Fixed points on trivial surface bundles over a connected CW-complex
title Fixed points on trivial surface bundles over a connected CW-complex
spellingShingle Fixed points on trivial surface bundles over a connected CW-complex
Gonçalves, Daciberg Lima
Braids
Fibre bundle
Fibrewise maps and homotopy
Fixed point
Surface
title_short Fixed points on trivial surface bundles over a connected CW-complex
title_full Fixed points on trivial surface bundles over a connected CW-complex
title_fullStr Fixed points on trivial surface bundles over a connected CW-complex
title_full_unstemmed Fixed points on trivial surface bundles over a connected CW-complex
title_sort Fixed points on trivial surface bundles over a connected CW-complex
author Gonçalves, Daciberg Lima
author_facet Gonçalves, Daciberg Lima
Libardi, Alice Kimie Miwa [UNESP]
Penteado, Dirceu
Vieira, João Peres [UNESP]
author_role author
author2 Libardi, Alice Kimie Miwa [UNESP]
Penteado, Dirceu
Vieira, João Peres [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
LUIZ KM 235
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Gonçalves, Daciberg Lima
Libardi, Alice Kimie Miwa [UNESP]
Penteado, Dirceu
Vieira, João Peres [UNESP]
dc.subject.por.fl_str_mv Braids
Fibre bundle
Fibrewise maps and homotopy
Fixed point
Surface
topic Braids
Fibre bundle
Fibrewise maps and homotopy
Fixed point
Surface
description The main purpose of this work is to study fixed points of fibre-preserving maps over a connected CW-complex B on the trivial surface bundles B×S where S is a closed surface of negative Euler characteristic. The case where B = S1 and S is equal to S2, i.e., the closed orientable surface of genus 2, is already known. We classify all such maps that can be deformed fibrewise to a fixed point free map.
publishDate 2015
dc.date.none.fl_str_mv 2015-01-01
2018-12-11T17:22:36Z
2018-12-11T17:22:36Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.5486/PMD.2015.7198
Publicationes Mathematicae, v. 87, n. 3-4, p. 371-384, 2015.
0033-3883
http://hdl.handle.net/11449/176815
10.5486/PMD.2015.7198
2-s2.0-85052996533
2-s2.0-85052996533.pdf
url http://dx.doi.org/10.5486/PMD.2015.7198
http://hdl.handle.net/11449/176815
identifier_str_mv Publicationes Mathematicae, v. 87, n. 3-4, p. 371-384, 2015.
0033-3883
10.5486/PMD.2015.7198
2-s2.0-85052996533
2-s2.0-85052996533.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Publicationes Mathematicae
0,369
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 371-384
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1799965691438170112

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