On the LS-category and topological complexity of projective product spaces

Detalhes bibliográficos
Autor(a) principal: Fişekci, Seher
Data de Publicação: 2021
Outros Autores: Vandembroucq, Lucile
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/1822/87040
Resumo: We determine the Lusternik-Schnirelmann category of the projective product spaces introduced by D. Davis. We also obtain an upper bound for the topological complexity of these spaces, which improves the estimate given by J. González, M. Grant, E. Torres-Giese, and M. Xicoténcatl.
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spelling On the LS-category and topological complexity of projective product spacesLS-categoryTopological complexityProjective product spaceProjective product spacesCiências Naturais::MatemáticasScience & TechnologyWe determine the Lusternik-Schnirelmann category of the projective product spaces introduced by D. Davis. We also obtain an upper bound for the topological complexity of these spaces, which improves the estimate given by J. González, M. Grant, E. Torres-Giese, and M. Xicoténcatl.This work has been realized during a stay of the first author at the Centre of Mathematics of the University of Minho in the period October 2019-July 2020. The first author is granted by a fellowship by the Scientific and Technological Research Council of Turkey TUBITAK-2211/A and supported by the Scientific and Technological Research Council of Turkey International Doctoral Research Fellowship Programme TUBITAK-2214/A (Project Number:1059B141801086). The research of the second author is partially supported by Portuguese Funds through FCT - Fundação para a Ciência e a Tecnologia, within the projects UIDB/00013/2020 and UIDP/00013/2020.SpringerUniversidade do MinhoFişekci, SeherVandembroucq, Lucile20212021-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/87040engFişekci, S., Vandembroucq, L. On the LS-category and topological complexity of projective product spaces. J. Homotopy Relat. Struct. 16, 769–780 (2021). https://doi.org/10.1007/s40062-021-00295-32193-84071512-289110.1007/s40062-021-00295-3https://link.springer.com/article/10.1007/s40062-021-00295-3info: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:RCAAP2023-10-28T01:19:13Zoai:repositorium.sdum.uminho.pt:1822/87040Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:25:59.213458Repositório 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 On the LS-category and topological complexity of projective product spaces
title On the LS-category and topological complexity of projective product spaces
spellingShingle On the LS-category and topological complexity of projective product spaces
Fişekci, Seher
LS-category
Topological complexity
Projective product space
Projective product spaces
Ciências Naturais::Matemáticas
Science & Technology
title_short On the LS-category and topological complexity of projective product spaces
title_full On the LS-category and topological complexity of projective product spaces
title_fullStr On the LS-category and topological complexity of projective product spaces
title_full_unstemmed On the LS-category and topological complexity of projective product spaces
title_sort On the LS-category and topological complexity of projective product spaces
author Fişekci, Seher
author_facet Fişekci, Seher
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 Fişekci, Seher
Vandembroucq, Lucile
dc.subject.por.fl_str_mv LS-category
Topological complexity
Projective product space
Projective product spaces
Ciências Naturais::Matemáticas
Science & Technology
topic LS-category
Topological complexity
Projective product space
Projective product spaces
Ciências Naturais::Matemáticas
Science & Technology
description We determine the Lusternik-Schnirelmann category of the projective product spaces introduced by D. Davis. We also obtain an upper bound for the topological complexity of these spaces, which improves the estimate given by J. González, M. Grant, E. Torres-Giese, and M. Xicoténcatl.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-01-01T00:00:00Z
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 https://hdl.handle.net/1822/87040
url https://hdl.handle.net/1822/87040
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Fişekci, S., Vandembroucq, L. On the LS-category and topological complexity of projective product spaces. J. Homotopy Relat. Struct. 16, 769–780 (2021). https://doi.org/10.1007/s40062-021-00295-3
2193-8407
1512-2891
10.1007/s40062-021-00295-3
https://link.springer.com/article/10.1007/s40062-021-00295-3
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 Springer
publisher.none.fl_str_mv Springer
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
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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
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