Simplicial resolutions and Ganea fibrations

Detalhes bibliográficos
Autor(a) principal: Kahl, Thomas
Data de Publicação: 2008
Outros Autores: Scheerer, Hans, Tanré, Daniel, 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/1822/11834
Resumo: In this work, we compare two approximations of a path- connected space X: the one given by the Ganea spaces Gn (X) and the one given by the realizations Λ• X n of the trun- cated simplicial resolutions induced by the loop-suspension cotriple ΣΩ. For a simply connected space X, we construct maps Λ• X n−1 → Gn (X) → Λ• X n over X, up to homo- topy. In the case n = 2, we also prove the existence of a map G2 (X) → Λ• X 1 over X (up to homotopy).
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spelling Simplicial resolutions and Ganea fibrationsSimplicial spacesLusternik-Schnirelmann categoryScience & TechnologyIn this work, we compare two approximations of a path- connected space X: the one given by the Ganea spaces Gn (X) and the one given by the realizations Λ• X n of the trun- cated simplicial resolutions induced by the loop-suspension cotriple ΣΩ. For a simply connected space X, we construct maps Λ• X n−1 → Gn (X) → Λ• X n over X, up to homo- topy. In the case n = 2, we also prove the existence of a map G2 (X) → Λ• X 1 over X (up to homotopy).Tbilisi Centre for Mathematical SciencesUniversidade do MinhoKahl, ThomasScheerer, HansTanré, DanielVandembroucq, Lucile20082008-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/11834eng1512-2891http://tcms.org.ge/Journals/JHRS/volumes/2008/volume3-1.htminfo: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:RCAAP2023-07-21T12:10:27Zoai:repositorium.sdum.uminho.pt:1822/11834Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:02:05.233970Repositório 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 Simplicial resolutions and Ganea fibrations
title Simplicial resolutions and Ganea fibrations
spellingShingle Simplicial resolutions and Ganea fibrations
Kahl, Thomas
Simplicial spaces
Lusternik-Schnirelmann category
Science & Technology
title_short Simplicial resolutions and Ganea fibrations
title_full Simplicial resolutions and Ganea fibrations
title_fullStr Simplicial resolutions and Ganea fibrations
title_full_unstemmed Simplicial resolutions and Ganea fibrations
title_sort Simplicial resolutions and Ganea fibrations
author Kahl, Thomas
author_facet Kahl, Thomas
Scheerer, Hans
Tanré, Daniel
Vandembroucq, Lucile
author_role author
author2 Scheerer, Hans
Tanré, Daniel
Vandembroucq, Lucile
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Kahl, Thomas
Scheerer, Hans
Tanré, Daniel
Vandembroucq, Lucile
dc.subject.por.fl_str_mv Simplicial spaces
Lusternik-Schnirelmann category
Science & Technology
topic Simplicial spaces
Lusternik-Schnirelmann category
Science & Technology
description In this work, we compare two approximations of a path- connected space X: the one given by the Ganea spaces Gn (X) and the one given by the realizations Λ• X n of the trun- cated simplicial resolutions induced by the loop-suspension cotriple ΣΩ. For a simply connected space X, we construct maps Λ• X n−1 → Gn (X) → Λ• X n over X, up to homo- topy. In the case n = 2, we also prove the existence of a map G2 (X) → Λ• X 1 over X (up to homotopy).
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-01-01T00:00:00Z
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 http://hdl.handle.net/1822/11834
url http://hdl.handle.net/1822/11834
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1512-2891
http://tcms.org.ge/Journals/JHRS/volumes/2008/volume3-1.htm
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 Tbilisi Centre for Mathematical Sciences
publisher.none.fl_str_mv Tbilisi Centre for Mathematical Sciences
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
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