On permutable pairs of quasi-uniformities
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10316/43796 https://doi.org/10.1016/j.topol.2015.10.004 |
Resumo: | As it is well known, the concepts of normality and extremal disconnectedness of a topological space are dual to each other in some sense. This is nicely illustrated by several pairs of famous results in classical topology. A recent paper by E.P. de Jager and H.-P.A. Künzi provides some interesting pairs of results of the kind in the asymmetric setting of quasi-uniform spaces. The aim of this paper is to shed a more unifying light on these results. Besides extending them to a setting determined by more general fixed classes of subspaces of the underlying space, encompassing some weak variants of normality, we determine sufficient conditions on the fixed class of subspaces that enable us to unify each pair of results under the same proof. |
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On permutable pairs of quasi-uniformitiesAs it is well known, the concepts of normality and extremal disconnectedness of a topological space are dual to each other in some sense. This is nicely illustrated by several pairs of famous results in classical topology. A recent paper by E.P. de Jager and H.-P.A. Künzi provides some interesting pairs of results of the kind in the asymmetric setting of quasi-uniform spaces. The aim of this paper is to shed a more unifying light on these results. Besides extending them to a setting determined by more general fixed classes of subspaces of the underlying space, encompassing some weak variants of normality, we determine sufficient conditions on the fixed class of subspaces that enable us to unify each pair of results under the same proof.Elsevier2015info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/43796http://hdl.handle.net/10316/43796https://doi.org/10.1016/j.topol.2015.10.004https://doi.org/10.1016/j.topol.2015.10.004enghttp://www.sciencedirect.com/science/article/pii/S0166864115004393Ferreira, Maria JoãoMatlabyana, MackPicado, Jorgeinfo: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:RCAAP2021-06-29T10:03:06Zoai:estudogeral.uc.pt:10316/43796Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:27.947172Repositório 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 permutable pairs of quasi-uniformities |
title |
On permutable pairs of quasi-uniformities |
spellingShingle |
On permutable pairs of quasi-uniformities Ferreira, Maria João |
title_short |
On permutable pairs of quasi-uniformities |
title_full |
On permutable pairs of quasi-uniformities |
title_fullStr |
On permutable pairs of quasi-uniformities |
title_full_unstemmed |
On permutable pairs of quasi-uniformities |
title_sort |
On permutable pairs of quasi-uniformities |
author |
Ferreira, Maria João |
author_facet |
Ferreira, Maria João Matlabyana, Mack Picado, Jorge |
author_role |
author |
author2 |
Matlabyana, Mack Picado, Jorge |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Ferreira, Maria João Matlabyana, Mack Picado, Jorge |
description |
As it is well known, the concepts of normality and extremal disconnectedness of a topological space are dual to each other in some sense. This is nicely illustrated by several pairs of famous results in classical topology. A recent paper by E.P. de Jager and H.-P.A. Künzi provides some interesting pairs of results of the kind in the asymmetric setting of quasi-uniform spaces. The aim of this paper is to shed a more unifying light on these results. Besides extending them to a setting determined by more general fixed classes of subspaces of the underlying space, encompassing some weak variants of normality, we determine sufficient conditions on the fixed class of subspaces that enable us to unify each pair of results under the same proof. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015 |
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/10316/43796 http://hdl.handle.net/10316/43796 https://doi.org/10.1016/j.topol.2015.10.004 https://doi.org/10.1016/j.topol.2015.10.004 |
url |
http://hdl.handle.net/10316/43796 https://doi.org/10.1016/j.topol.2015.10.004 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
http://www.sciencedirect.com/science/article/pii/S0166864115004393 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
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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1799133821564616704 |