The universal covering homomorphism in o-minimal expansions of groups

Detalhes bibliográficos
Autor(a) principal: Edmundo, Mário Jorge
Data de Publicação: 2007
Outros Autores: Eleftheriou, P. E.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/2838
Resumo: Suppose G is a definably connected, definable group in an o-minimal expansion of an ordered group. We show that the o-minimal universal covering homomorphism p:U->G is a locally definable covering homomorphism and π_1(G) is isomorphic to the o-minimal fundamental group π (G) of G defined using locally definable covering homomorphisms.
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spelling The universal covering homomorphism in o-minimal expansions of groupsDefinable groupsO-minimal structuresUniversal coversSuppose G is a definably connected, definable group in an o-minimal expansion of an ordered group. We show that the o-minimal universal covering homomorphism p:U->G is a locally definable covering homomorphism and π_1(G) is isomorphic to the o-minimal fundamental group π (G) of G defined using locally definable covering homomorphisms.FCT (Fundação para a Ciência e Tecnologia), program POCTI (Portugal/FEDER-EU); NSF grant DMS-02-45167 (Cholak)WILEY-VCH Verlag GmbH & Co. KGaARepositório AbertoEdmundo, Mário JorgeEleftheriou, P. E.2014-01-21T20:33:48Z2007-112007-11-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/2838engEdmundo, Mário Jorge; Eleftheriou, P. E. - The universal covering homomorphism in o-minimal expansions of groups. "Mathematical Logic Quarterly" [Em linha]. ISSN 0942-5616. Vol. 53, Nº 6 (2007), p. 1-200942-5616info: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:RCAAP2023-11-16T15:16:42Zoai:repositorioaberto.uab.pt:10400.2/2838Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:44:09.271879Repositório 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 homomorphism in o-minimal expansions of groups
title The universal covering homomorphism in o-minimal expansions of groups
spellingShingle The universal covering homomorphism in o-minimal expansions of groups
Edmundo, Mário Jorge
Definable groups
O-minimal structures
Universal covers
title_short The universal covering homomorphism in o-minimal expansions of groups
title_full The universal covering homomorphism in o-minimal expansions of groups
title_fullStr The universal covering homomorphism in o-minimal expansions of groups
title_full_unstemmed The universal covering homomorphism in o-minimal expansions of groups
title_sort The universal covering homomorphism in o-minimal expansions of groups
author Edmundo, Mário Jorge
author_facet Edmundo, Mário Jorge
Eleftheriou, P. E.
author_role author
author2 Eleftheriou, P. E.
author2_role author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Edmundo, Mário Jorge
Eleftheriou, P. E.
dc.subject.por.fl_str_mv Definable groups
O-minimal structures
Universal covers
topic Definable groups
O-minimal structures
Universal covers
description Suppose G is a definably connected, definable group in an o-minimal expansion of an ordered group. We show that the o-minimal universal covering homomorphism p:U->G is a locally definable covering homomorphism and π_1(G) is isomorphic to the o-minimal fundamental group π (G) of G defined using locally definable covering homomorphisms.
publishDate 2007
dc.date.none.fl_str_mv 2007-11
2007-11-01T00:00:00Z
2014-01-21T20:33:48Z
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/10400.2/2838
url http://hdl.handle.net/10400.2/2838
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Edmundo, Mário Jorge; Eleftheriou, P. E. - The universal covering homomorphism in o-minimal expansions of groups. "Mathematical Logic Quarterly" [Em linha]. ISSN 0942-5616. Vol. 53, Nº 6 (2007), p. 1-20
0942-5616
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 WILEY-VCH Verlag GmbH & Co. KGaA
publisher.none.fl_str_mv WILEY-VCH Verlag GmbH & Co. KGaA
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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