On the euler characteristic of definable groups

Detalhes bibliográficos
Autor(a) principal: Edmundo, Mário Jorge
Data de Publicação: 2011
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/2761
Resumo: We show that in an arbitrary o-minimal structure the following are equivalent: (i) conjugates of a definable subgroup of a definably connected, definably compact definable group cover the group if the o-minimal Euler characteristic of the quotient is non zero; (ii) every infinite, definably connected, definably compact definable group has a non trivial torsion point.
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spelling On the euler characteristic of definable groupsO-minimal structuresDefinable groupsWe show that in an arbitrary o-minimal structure the following are equivalent: (i) conjugates of a definable subgroup of a definably connected, definably compact definable group cover the group if the o-minimal Euler characteristic of the quotient is non zero; (ii) every infinite, definably connected, definably compact definable group has a non trivial torsion point.WILEY-VCH Verlag GmbH & Co. KGaA, WeinheimRepositório AbertoEdmundo, Mário Jorge2014-01-08T12:25:49Z2011-022011-02-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/2761engEdmundo, Mário Jorge - On the euler characteristic of definable groups. "Mathematical Logic Quarterly" [Em linha]. ISSN 1521-3870 (Print) 0942-5616 (Online). Vol. 57, Nº 1 (Fev. 2011), p. 3-50942-5616info: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:RCAAP2023-11-16T15:16:44Zoai:repositorioaberto.uab.pt:10400.2/2761Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:44:09.719883Repositório 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 euler characteristic of definable groups
title On the euler characteristic of definable groups
spellingShingle On the euler characteristic of definable groups
Edmundo, Mário Jorge
O-minimal structures
Definable groups
title_short On the euler characteristic of definable groups
title_full On the euler characteristic of definable groups
title_fullStr On the euler characteristic of definable groups
title_full_unstemmed On the euler characteristic of definable groups
title_sort On the euler characteristic of definable groups
author Edmundo, Mário Jorge
author_facet Edmundo, Mário Jorge
author_role author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Edmundo, Mário Jorge
dc.subject.por.fl_str_mv O-minimal structures
Definable groups
topic O-minimal structures
Definable groups
description We show that in an arbitrary o-minimal structure the following are equivalent: (i) conjugates of a definable subgroup of a definably connected, definably compact definable group cover the group if the o-minimal Euler characteristic of the quotient is non zero; (ii) every infinite, definably connected, definably compact definable group has a non trivial torsion point.
publishDate 2011
dc.date.none.fl_str_mv 2011-02
2011-02-01T00:00:00Z
2014-01-08T12:25:49Z
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/10400.2/2761
url http://hdl.handle.net/10400.2/2761
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Edmundo, Mário Jorge - On the euler characteristic of definable groups. "Mathematical Logic Quarterly" [Em linha]. ISSN 1521-3870 (Print) 0942-5616 (Online). Vol. 57, Nº 1 (Fev. 2011), p. 3-5
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, Weinheim
publisher.none.fl_str_mv WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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
repository.mail.fl_str_mv
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