Entourages, density, cauchy maps, and completion

Detalhes bibliográficos
Autor(a) principal: Picado, Jorge
Data de Publicação: 2018
Outros Autores: Pultr, Aleš
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/90474
https://doi.org/10.1007/s10485-018-9542-2
Resumo: We study uniformities and quasi-uniformities (uniformities without the symmetry axiom) in the common language of entourages. The techniques developed allow for a general theory in which uniformities are the symmetric part. In particular, we have a natural notion of Cauchy map independent of symmetry and a very simple general completion procedure (perhaps more transparent and simpler than the usual symmetric one).
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spelling Entourages, density, cauchy maps, and completionFrame, Locale, Sublocale, Uniform frame, Quasi-uniform frame, Entourage, Uniform map, Uniform dense embedding, Cauchy map, Complete, CompletionWe study uniformities and quasi-uniformities (uniformities without the symmetry axiom) in the common language of entourages. The techniques developed allow for a general theory in which uniformities are the symmetric part. In particular, we have a natural notion of Cauchy map independent of symmetry and a very simple general completion procedure (perhaps more transparent and simpler than the usual symmetric one).Springer2018info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/90474http://hdl.handle.net/10316/90474https://doi.org/10.1007/s10485-018-9542-2enghttps://link.springer.com/article/10.1007/s10485-018-9542-2Picado, JorgePultr, Alešinfo: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:RCAAP2022-05-25T03:12:34Zoai:estudogeral.uc.pt:10316/90474Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:10:36.206602Repositório 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 Entourages, density, cauchy maps, and completion
title Entourages, density, cauchy maps, and completion
spellingShingle Entourages, density, cauchy maps, and completion
Picado, Jorge
Frame, Locale, Sublocale, Uniform frame, Quasi-uniform frame, Entourage, Uniform map, Uniform dense embedding, Cauchy map, Complete, Completion
title_short Entourages, density, cauchy maps, and completion
title_full Entourages, density, cauchy maps, and completion
title_fullStr Entourages, density, cauchy maps, and completion
title_full_unstemmed Entourages, density, cauchy maps, and completion
title_sort Entourages, density, cauchy maps, and completion
author Picado, Jorge
author_facet Picado, Jorge
Pultr, Aleš
author_role author
author2 Pultr, Aleš
author2_role author
dc.contributor.author.fl_str_mv Picado, Jorge
Pultr, Aleš
dc.subject.por.fl_str_mv Frame, Locale, Sublocale, Uniform frame, Quasi-uniform frame, Entourage, Uniform map, Uniform dense embedding, Cauchy map, Complete, Completion
topic Frame, Locale, Sublocale, Uniform frame, Quasi-uniform frame, Entourage, Uniform map, Uniform dense embedding, Cauchy map, Complete, Completion
description We study uniformities and quasi-uniformities (uniformities without the symmetry axiom) in the common language of entourages. The techniques developed allow for a general theory in which uniformities are the symmetric part. In particular, we have a natural notion of Cauchy map independent of symmetry and a very simple general completion procedure (perhaps more transparent and simpler than the usual symmetric one).
publishDate 2018
dc.date.none.fl_str_mv 2018
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/10316/90474
http://hdl.handle.net/10316/90474
https://doi.org/10.1007/s10485-018-9542-2
url http://hdl.handle.net/10316/90474
https://doi.org/10.1007/s10485-018-9542-2
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://link.springer.com/article/10.1007/s10485-018-9542-2
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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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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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