Frames with Transitive Structures
Autor(a) principal: | |
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Data de Publicação: | 2002 |
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/10316/7753 https://doi.org/10.1023/A:1013372903430 |
Resumo: | A classical result in the theory of uniform spaces is that any topological space with a base of clopen sets admits a uniformity with a transitive base and the uniform topology of such a space has a base of clopen sets. This paper presents a pointfree generalization of this, both to uniform and quasi-uniform frames, together with various properties concerning total boundedness, compactifications and completions. |
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Frames with Transitive StructuresA classical result in the theory of uniform spaces is that any topological space with a base of clopen sets admits a uniformity with a transitive base and the uniform topology of such a space has a base of clopen sets. This paper presents a pointfree generalization of this, both to uniform and quasi-uniform frames, together with various properties concerning total boundedness, compactifications and completions.2002info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/7753http://hdl.handle.net/10316/7753https://doi.org/10.1023/A:1013372903430engApplied Categorical Structures. 10:1 (2002) 63-79Hunsaker, WorthenPicado, 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:RCAAP2020-05-25T13:07:08Zoai:estudogeral.uc.pt:10316/7753Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:43.515423Repositório 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 |
Frames with Transitive Structures |
title |
Frames with Transitive Structures |
spellingShingle |
Frames with Transitive Structures Hunsaker, Worthen |
title_short |
Frames with Transitive Structures |
title_full |
Frames with Transitive Structures |
title_fullStr |
Frames with Transitive Structures |
title_full_unstemmed |
Frames with Transitive Structures |
title_sort |
Frames with Transitive Structures |
author |
Hunsaker, Worthen |
author_facet |
Hunsaker, Worthen Picado, Jorge |
author_role |
author |
author2 |
Picado, Jorge |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Hunsaker, Worthen Picado, Jorge |
description |
A classical result in the theory of uniform spaces is that any topological space with a base of clopen sets admits a uniformity with a transitive base and the uniform topology of such a space has a base of clopen sets. This paper presents a pointfree generalization of this, both to uniform and quasi-uniform frames, together with various properties concerning total boundedness, compactifications and completions. |
publishDate |
2002 |
dc.date.none.fl_str_mv |
2002 |
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/10316/7753 http://hdl.handle.net/10316/7753 https://doi.org/10.1023/A:1013372903430 |
url |
http://hdl.handle.net/10316/7753 https://doi.org/10.1023/A:1013372903430 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Applied Categorical Structures. 10:1 (2002) 63-79 |
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info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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 |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799133897591619584 |