On the rational topological complexity of coformal elliptic spaces

Detalhes bibliográficos
Autor(a) principal: Hamoun, Said
Data de Publicação: 2023
Outros Autores: Rami, Youssef, 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/1822/87045
Resumo: We establish some upper and lower bounds of the rational topological complexity for certain classes of elliptic spaces. Our techniques permit us in particular to show that the rational topological complexity coincides with the dimension of the rational homotopy for some special families of coformal elliptic spaces.
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spelling On the rational topological complexity of coformal elliptic spacesRational Topological ComplexityElliptic spacesCiências Naturais::MatemáticasScience & TechnologyWe establish some upper and lower bounds of the rational topological complexity for certain classes of elliptic spaces. Our techniques permit us in particular to show that the rational topological complexity coincides with the dimension of the rational homotopy for some special families of coformal elliptic spaces.This work has been partially supported by Portuguese Funds through FCT – Fundação para a Ciência e a Tecnologia, within the projects UIDB/00013/2020 and UIDP/00013/2020. A portion of this work has been discussed during the BIRS-CMO workshop Topological Complexity and Motion Planning, Oaxaca (Mexico), May 2022, and S.H and L.V thank the Casa Matemática Oaxaca for its support and hospitality during this workshop. S.H would like to thank the Moroccan center CNRST –Centre National pour la Recherche Scientifique et Technique for providing him with a research scholarship grant number: 7UMI2020.ElsevierUniversidade do MinhoHamoun, SaidRami, YoussefVandembroucq, Lucile20232023-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/87045engHamoun, S., Rami, Y., & Vandembroucq, L. (2023, July). On the rational topological complexity of coformal elliptic spaces. Journal of Pure and Applied Algebra. Elsevier BV. http://doi.org/10.1016/j.jpaa.2023.1073180022-40491873-137610.1016/j.jpaa.2023.107318https://doi.org/10.1016/j.jpaa.2023.107318info: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:RCAAP2023-10-28T01:19:01Zoai:repositorium.sdum.uminho.pt:1822/87045Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:25:58.702111Repositório 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 rational topological complexity of coformal elliptic spaces
title On the rational topological complexity of coformal elliptic spaces
spellingShingle On the rational topological complexity of coformal elliptic spaces
Hamoun, Said
Rational Topological Complexity
Elliptic spaces
Ciências Naturais::Matemáticas
Science & Technology
title_short On the rational topological complexity of coformal elliptic spaces
title_full On the rational topological complexity of coformal elliptic spaces
title_fullStr On the rational topological complexity of coformal elliptic spaces
title_full_unstemmed On the rational topological complexity of coformal elliptic spaces
title_sort On the rational topological complexity of coformal elliptic spaces
author Hamoun, Said
author_facet Hamoun, Said
Rami, Youssef
Vandembroucq, Lucile
author_role author
author2 Rami, Youssef
Vandembroucq, Lucile
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Hamoun, Said
Rami, Youssef
Vandembroucq, Lucile
dc.subject.por.fl_str_mv Rational Topological Complexity
Elliptic spaces
Ciências Naturais::Matemáticas
Science & Technology
topic Rational Topological Complexity
Elliptic spaces
Ciências Naturais::Matemáticas
Science & Technology
description We establish some upper and lower bounds of the rational topological complexity for certain classes of elliptic spaces. Our techniques permit us in particular to show that the rational topological complexity coincides with the dimension of the rational homotopy for some special families of coformal elliptic spaces.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-01-01T00:00:00Z
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/1822/87045
url https://hdl.handle.net/1822/87045
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Hamoun, S., Rami, Y., & Vandembroucq, L. (2023, July). On the rational topological complexity of coformal elliptic spaces. Journal of Pure and Applied Algebra. Elsevier BV. http://doi.org/10.1016/j.jpaa.2023.107318
0022-4049
1873-1376
10.1016/j.jpaa.2023.107318
https://doi.org/10.1016/j.jpaa.2023.107318
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 Elsevier
publisher.none.fl_str_mv Elsevier
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
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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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