Some results on extension of maps and applications

Detalhes bibliográficos
Autor(a) principal: Biasi, Carlos
Data de Publicação: 2019
Outros Autores: Libardi, Alice K. M. [UNESP], De Melo, Thiago [UNESP], Dos Santos, Edivaldo L.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1017/prm.2018.113
http://hdl.handle.net/11449/188626
Resumo: This paper concerns extension of maps using obstruction theory under a non-classical viewpoint. It is given a classification of homotopy classes of maps and as an application it is presented a simple proof of a theorem by Adachi about equivalence of vector bundles. Also it is proved that, under certain conditions, two embeddings are homotopic up to surgery if and only if the respective normal bundles are SO-equivalent.
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spelling Some results on extension of maps and applicationsextension of mapshomotopyobstructionvector bundleThis paper concerns extension of maps using obstruction theory under a non-classical viewpoint. It is given a classification of homotopy classes of maps and as an application it is presented a simple proof of a theorem by Adachi about equivalence of vector bundles. Also it is proved that, under certain conditions, two embeddings are homotopic up to surgery if and only if the respective normal bundles are SO-equivalent.Departamento de Matemática Instituto de Ciências Matemáticas e de Computação São Paulo University Campus de São Carlos 13560-970Departamento de Matemática São Paulo State University (Unesp) Institute of Geosciences and Exact Sciences Rio ClaroDepartamento de Matematica Federal University of São Carlos, Rodovia Washington Luiz. km 235Departamento de Matemática São Paulo State University (Unesp) Institute of Geosciences and Exact Sciences Rio ClaroUniversidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)Universidade Federal de São Carlos (UFSCar)Biasi, CarlosLibardi, Alice K. M. [UNESP]De Melo, Thiago [UNESP]Dos Santos, Edivaldo L.2019-10-06T16:14:09Z2019-10-06T16:14:09Z2019-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1017/prm.2018.113Proceedings of the Royal Society of Edinburgh Section A: Mathematics.1473-71240308-2105http://hdl.handle.net/11449/18862610.1017/prm.2018.1132-s2.0-85060094280Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of the Royal Society of Edinburgh Section A: Mathematicsinfo:eu-repo/semantics/openAccess2021-10-22T18:56:56Zoai:repositorio.unesp.br:11449/188626Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-22T18:56:56Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Some results on extension of maps and applications
title Some results on extension of maps and applications
spellingShingle Some results on extension of maps and applications
Biasi, Carlos
extension of maps
homotopy
obstruction
vector bundle
title_short Some results on extension of maps and applications
title_full Some results on extension of maps and applications
title_fullStr Some results on extension of maps and applications
title_full_unstemmed Some results on extension of maps and applications
title_sort Some results on extension of maps and applications
author Biasi, Carlos
author_facet Biasi, Carlos
Libardi, Alice K. M. [UNESP]
De Melo, Thiago [UNESP]
Dos Santos, Edivaldo L.
author_role author
author2 Libardi, Alice K. M. [UNESP]
De Melo, Thiago [UNESP]
Dos Santos, Edivaldo L.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Universidade Estadual Paulista (Unesp)
Universidade Federal de São Carlos (UFSCar)
dc.contributor.author.fl_str_mv Biasi, Carlos
Libardi, Alice K. M. [UNESP]
De Melo, Thiago [UNESP]
Dos Santos, Edivaldo L.
dc.subject.por.fl_str_mv extension of maps
homotopy
obstruction
vector bundle
topic extension of maps
homotopy
obstruction
vector bundle
description This paper concerns extension of maps using obstruction theory under a non-classical viewpoint. It is given a classification of homotopy classes of maps and as an application it is presented a simple proof of a theorem by Adachi about equivalence of vector bundles. Also it is proved that, under certain conditions, two embeddings are homotopic up to surgery if and only if the respective normal bundles are SO-equivalent.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-06T16:14:09Z
2019-10-06T16:14:09Z
2019-01-01
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/10.1017/prm.2018.113
Proceedings of the Royal Society of Edinburgh Section A: Mathematics.
1473-7124
0308-2105
http://hdl.handle.net/11449/188626
10.1017/prm.2018.113
2-s2.0-85060094280
url http://dx.doi.org/10.1017/prm.2018.113
http://hdl.handle.net/11449/188626
identifier_str_mv Proceedings of the Royal Society of Edinburgh Section A: Mathematics.
1473-7124
0308-2105
10.1017/prm.2018.113
2-s2.0-85060094280
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings of the Royal Society of Edinburgh Section A: Mathematics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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_ 1799964493134954496

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