Q-topological complexity

Detalhes bibliográficos
Autor(a) principal: Fernández Suárez, Lucía
Data de Publicação: 2018
Outros Autores: Vandembroucq, Lucile
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/62820
Resumo: By analogy with the invariant Q-category defined by Scheerer, Stanley and Tanré, we introduce the notions of Q-sectional category and Q-topological complexity. We establish several properties of these invariants. We also obtain a formula for the behaviour of the sectional category with respect to a fibration which generalizes the classical formulas for Lusternik-Schnirelmann category and topological complexity.
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spelling Q-topological complexityTopological complexitySectional categoryCiências Naturais::MatemáticasScience & TechnologyBy analogy with the invariant Q-category defined by Scheerer, Stanley and Tanré, we introduce the notions of Q-sectional category and Q-topological complexity. We establish several properties of these invariants. We also obtain a formula for the behaviour of the sectional category with respect to a fibration which generalizes the classical formulas for Lusternik-Schnirelmann category and topological complexity.This research has been partially supported by Portuguese Funds from the "Fundacio para a Ciencia e a Tecnologia", through the Project UID/MAT/0013/2013.American Mathematical SocietyUniversidade do MinhoFernández Suárez, LucíaVandembroucq, Lucile20182018-01-01T00:00:00Zconference paperinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/1822/62820engContemporary Mathematics 702 (2018) 103-11997814704343660271-413210.1090/conm/702/141109781470444051https://www.ams.org/books/conm/702/info: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:RCAAP2024-05-11T05:22:03Zoai:repositorium.sdum.uminho.pt:1822/62820Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-05-11T05:22:03Repositório 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 Q-topological complexity
title Q-topological complexity
spellingShingle Q-topological complexity
Fernández Suárez, Lucía
Topological complexity
Sectional category
Ciências Naturais::Matemáticas
Science & Technology
title_short Q-topological complexity
title_full Q-topological complexity
title_fullStr Q-topological complexity
title_full_unstemmed Q-topological complexity
title_sort Q-topological complexity
author Fernández Suárez, Lucía
author_facet Fernández Suárez, Lucía
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 Fernández Suárez, Lucía
Vandembroucq, Lucile
dc.subject.por.fl_str_mv Topological complexity
Sectional category
Ciências Naturais::Matemáticas
Science & Technology
topic Topological complexity
Sectional category
Ciências Naturais::Matemáticas
Science & Technology
description By analogy with the invariant Q-category defined by Scheerer, Stanley and Tanré, we introduce the notions of Q-sectional category and Q-topological complexity. We establish several properties of these invariants. We also obtain a formula for the behaviour of the sectional category with respect to a fibration which generalizes the classical formulas for Lusternik-Schnirelmann category and topological complexity.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-01-01T00:00:00Z
dc.type.driver.fl_str_mv conference paper
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/62820
url http://hdl.handle.net/1822/62820
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Contemporary Mathematics 702 (2018) 103-119
9781470434366
0271-4132
10.1090/conm/702/14110
9781470444051
https://www.ams.org/books/conm/702/
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 American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
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
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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
repository.mail.fl_str_mv mluisa.alvim@gmail.com
_version_ 1817544598365405184

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