Topological groups have representable actions

Detalhes bibliográficos
Autor(a) principal: Cagliari, Francesca
Data de Publicação: 2019
Outros Autores: Clementino, Maria Manuel
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/89424
https://doi.org/10.36045/bbms/1576206354
Resumo: This paper shows that the group of auto-homeomorphisms of a topological group can be endowed with a topology so that the resulting topological group plays, for topological groups, the role of the group of automorphisms of a group: it represents the internal actions on the given topological group.
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spelling Topological groups have representable actionsTopological group; Representability of actions; Split extension classifier; Group of homeomorphisms; Stone-Čech compactificationThis paper shows that the group of auto-homeomorphisms of a topological group can be endowed with a topology so that the resulting topological group plays, for topological groups, the role of the group of automorphisms of a group: it represents the internal actions on the given topological group.Belgium Mathematical Society - Project Euclides20192024-12-30T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/89424http://hdl.handle.net/10316/89424https://doi.org/10.36045/bbms/1576206354enghttps://projecteuclid.org/euclid.bbms/1576206354Cagliari, FrancescaClementino, Maria Manuelinfo:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-10-27T10:56:02Zoai:estudogeral.uc.pt:10316/89424Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:09:44.775148Repositório 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 Topological groups have representable actions
title Topological groups have representable actions
spellingShingle Topological groups have representable actions
Cagliari, Francesca
Topological group; Representability of actions; Split extension classifier; Group of homeomorphisms; Stone-Čech compactification
title_short Topological groups have representable actions
title_full Topological groups have representable actions
title_fullStr Topological groups have representable actions
title_full_unstemmed Topological groups have representable actions
title_sort Topological groups have representable actions
author Cagliari, Francesca
author_facet Cagliari, Francesca
Clementino, Maria Manuel
author_role author
author2 Clementino, Maria Manuel
author2_role author
dc.contributor.author.fl_str_mv Cagliari, Francesca
Clementino, Maria Manuel
dc.subject.por.fl_str_mv Topological group; Representability of actions; Split extension classifier; Group of homeomorphisms; Stone-Čech compactification
topic Topological group; Representability of actions; Split extension classifier; Group of homeomorphisms; Stone-Čech compactification
description This paper shows that the group of auto-homeomorphisms of a topological group can be endowed with a topology so that the resulting topological group plays, for topological groups, the role of the group of automorphisms of a group: it represents the internal actions on the given topological group.
publishDate 2019
dc.date.none.fl_str_mv 2019
2024-12-30T00:00:00Z
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/10316/89424
http://hdl.handle.net/10316/89424
https://doi.org/10.36045/bbms/1576206354
url http://hdl.handle.net/10316/89424
https://doi.org/10.36045/bbms/1576206354
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://projecteuclid.org/euclid.bbms/1576206354
dc.rights.driver.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.publisher.none.fl_str_mv Belgium Mathematical Society - Project Euclides
publisher.none.fl_str_mv Belgium Mathematical Society - Project Euclides
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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