Weak sectional category

Detalhes bibliográficos
Autor(a) principal: Calcines, J.
Data de Publicação: 2010
Outros Autores: Vandembroucq, Lucile
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/13760
Resumo: Based on a Whitehead-type characterization of the sectional category we develop the notion of weak sectional category. This is a new lower bound of the sectional category, which is inspired by the notion of weak category in the sense of Berstein-Hilton. We establish several properties and inequalities, including the fact that the weak sectional category is a better lower bound for the sectional category than the classical one given by the nilpotency of the kernel of the induced map in cohomology. Finally, we apply our results in the study of the topological complexity in the sense of Farber.
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spelling Weak sectional categorySectional categoryTopological complexityScience & TechnologyBased on a Whitehead-type characterization of the sectional category we develop the notion of weak sectional category. This is a new lower bound of the sectional category, which is inspired by the notion of weak category in the sense of Berstein-Hilton. We establish several properties and inequalities, including the fact that the weak sectional category is a better lower bound for the sectional category than the classical one given by the nilpotency of the kernel of the induced map in cohomology. Finally, we apply our results in the study of the topological complexity in the sense of Farber.Fundação para a Ciência e a Tecnologia (FCT/POCI 2010)Ministerio Espanhol da Educação e da Ciência grant MTM2006-06317FEDEROxford University PressUniversidade do MinhoCalcines, J.Vandembroucq, Lucile2010-122010-12-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/13760eng0024-610710.1112/jlms/jdq048The published version is available at http://jlms.oxfordjournals.org/content/82/3.tocinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T11:55:23Zoai:repositorium.sdum.uminho.pt:1822/13760Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:44:55.582837Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Weak sectional category
title Weak sectional category
spellingShingle Weak sectional category
Calcines, J.
Sectional category
Topological complexity
Science & Technology
title_short Weak sectional category
title_full Weak sectional category
title_fullStr Weak sectional category
title_full_unstemmed Weak sectional category
title_sort Weak sectional category
author Calcines, J.
author_facet Calcines, J.
Vandembroucq, Lucile
author_role author
author2 Vandembroucq, Lucile
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Calcines, J.
Vandembroucq, Lucile
dc.subject.por.fl_str_mv Sectional category
Topological complexity
Science & Technology
topic Sectional category
Topological complexity
Science & Technology
description Based on a Whitehead-type characterization of the sectional category we develop the notion of weak sectional category. This is a new lower bound of the sectional category, which is inspired by the notion of weak category in the sense of Berstein-Hilton. We establish several properties and inequalities, including the fact that the weak sectional category is a better lower bound for the sectional category than the classical one given by the nilpotency of the kernel of the induced map in cohomology. Finally, we apply our results in the study of the topological complexity in the sense of Farber.
publishDate 2010
dc.date.none.fl_str_mv 2010-12
2010-12-01T00:00:00Z
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://hdl.handle.net/1822/13760
url http://hdl.handle.net/1822/13760
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0024-6107
10.1112/jlms/jdq048
The published version is available at http://jlms.oxfordjournals.org/content/82/3.toc
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Oxford University Press
publisher.none.fl_str_mv Oxford University Press
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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