The universal covering map in o-minimal expansions of groups

Detalhes bibliográficos
Autor(a) principal: Edmundo, Mário
Data de Publicação: 2013
Outros Autores: Eleftheriou, P. E., Prelli, L.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/2828
Resumo: In this paper we study locally definable manifolds and we prove: (i) the existence of universal locally definable covering maps; (ii) invariance results for locally definable covering maps, o-minimal fundamental groups and fundamental groupoids; (iii) monodromy equivalence for locally constant o-minimal sheaves; (iv) classification results for locally definable covering maps; (v) o-minimal Hurewicz and Seifert-van Kampen theorems.
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spelling The universal covering map in o-minimal expansions of groupsO-minimal universal coversFundamental groupsIn this paper we study locally definable manifolds and we prove: (i) the existence of universal locally definable covering maps; (ii) invariance results for locally definable covering maps, o-minimal fundamental groups and fundamental groupoids; (iii) monodromy equivalence for locally constant o-minimal sheaves; (iv) classification results for locally definable covering maps; (v) o-minimal Hurewicz and Seifert-van Kampen theorems.Fundação para a Ciência e a Tecnologia, Financiamento Base 2008 - ISFL/1/209. Fundação para a Ciência e a Tecnologia, grant SFRH/BPD/35000/2007; Marie Curie grant PIEF-GA-2010-272021The first author was supported by Fundação para a Ciência e a Tecnologia, Financiamento Base 2008 - ISFL/1/209. The second author was supported by the Fundação para a Ciência e a Tecnologia grant SFRH/BPD/35000/2007. The third author was supported by Marie Curie grant PIEF-GA-2010-272021. This work is part of the FCT project PTDC/MAT/101740/2008.Elsevier B.V.Repositório AbertoEdmundo, MárioEleftheriou, P. E.Prelli, L.2014-01-21T11:39:43Z2013-082013-08-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/2828engEdmundo, Mário; Eleftheriou, P. E.; Prelli, L. - The universal covering map in o-minimal expansions of groups. "Topology and its Applications" [Em linha]. ISSN 0166-8641 (Print) 1879-3207 (Online). Vol. 160, nº 13 (ago. 2013), p. 1-390166-8641 (Print)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:RCAAP2023-11-16T15:16:44Zoai:repositorioaberto.uab.pt:10400.2/2828Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:44:09.849024Repositório 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 The universal covering map in o-minimal expansions of groups
title The universal covering map in o-minimal expansions of groups
spellingShingle The universal covering map in o-minimal expansions of groups
Edmundo, Mário
O-minimal universal covers
Fundamental groups
title_short The universal covering map in o-minimal expansions of groups
title_full The universal covering map in o-minimal expansions of groups
title_fullStr The universal covering map in o-minimal expansions of groups
title_full_unstemmed The universal covering map in o-minimal expansions of groups
title_sort The universal covering map in o-minimal expansions of groups
author Edmundo, Mário
author_facet Edmundo, Mário
Eleftheriou, P. E.
Prelli, L.
author_role author
author2 Eleftheriou, P. E.
Prelli, L.
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Edmundo, Mário
Eleftheriou, P. E.
Prelli, L.
dc.subject.por.fl_str_mv O-minimal universal covers
Fundamental groups
topic O-minimal universal covers
Fundamental groups
description In this paper we study locally definable manifolds and we prove: (i) the existence of universal locally definable covering maps; (ii) invariance results for locally definable covering maps, o-minimal fundamental groups and fundamental groupoids; (iii) monodromy equivalence for locally constant o-minimal sheaves; (iv) classification results for locally definable covering maps; (v) o-minimal Hurewicz and Seifert-van Kampen theorems.
publishDate 2013
dc.date.none.fl_str_mv 2013-08
2013-08-01T00:00:00Z
2014-01-21T11:39:43Z
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/10400.2/2828
url http://hdl.handle.net/10400.2/2828
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Edmundo, Mário; Eleftheriou, P. E.; Prelli, L. - The universal covering map in o-minimal expansions of groups. "Topology and its Applications" [Em linha]. ISSN 0166-8641 (Print) 1879-3207 (Online). Vol. 160, nº 13 (ago. 2013), p. 1-39
0166-8641 (Print)
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 B.V.
publisher.none.fl_str_mv Elsevier B.V.
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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institution RCAAP
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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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