Notes on the Product of Locales

Detalhes bibliográficos
Autor(a) principal: Picado, Jorge
Data de Publicação: 2015
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/10316/43902
https://doi.org/10.1515/ms-2015-0020
Resumo: Products of locales (generalized spaces) are coproducts of frames. Because of the algebraic nature of the latter they are often viewed as algebraic objects without much topological connotation. In this paper we first analyze the frame construction emphasizing its tensor product carrier. Then we show how it can be viewed topologically, that is, in the sum-of-the-open-rectangles perspective. The main aim is to present the product from different points of view, as an algebraic and a geometric object, and persuade the reader that both of them are fairly transparent.
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spelling Notes on the Product of LocalesProducts of locales (generalized spaces) are coproducts of frames. Because of the algebraic nature of the latter they are often viewed as algebraic objects without much topological connotation. In this paper we first analyze the frame construction emphasizing its tensor product carrier. Then we show how it can be viewed topologically, that is, in the sum-of-the-open-rectangles perspective. The main aim is to present the product from different points of view, as an algebraic and a geometric object, and persuade the reader that both of them are fairly transparent.De Gruyter2015info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/43902http://hdl.handle.net/10316/43902https://doi.org/10.1515/ms-2015-0020https://doi.org/10.1515/ms-2015-0020enghttps://doi.org/10.1515/ms-2015-0020Picado, 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:RCAAP2021-06-29T10:03:34Zoai:estudogeral.uc.pt:10316/43902Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:29.575744Repositório 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 Notes on the Product of Locales
title Notes on the Product of Locales
spellingShingle Notes on the Product of Locales
Picado, Jorge
title_short Notes on the Product of Locales
title_full Notes on the Product of Locales
title_fullStr Notes on the Product of Locales
title_full_unstemmed Notes on the Product of Locales
title_sort Notes on the Product of Locales
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
description Products of locales (generalized spaces) are coproducts of frames. Because of the algebraic nature of the latter they are often viewed as algebraic objects without much topological connotation. In this paper we first analyze the frame construction emphasizing its tensor product carrier. Then we show how it can be viewed topologically, that is, in the sum-of-the-open-rectangles perspective. The main aim is to present the product from different points of view, as an algebraic and a geometric object, and persuade the reader that both of them are fairly transparent.
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
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/43902
http://hdl.handle.net/10316/43902
https://doi.org/10.1515/ms-2015-0020
https://doi.org/10.1515/ms-2015-0020
url http://hdl.handle.net/10316/43902
https://doi.org/10.1515/ms-2015-0020
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language eng
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eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv De Gruyter
publisher.none.fl_str_mv De Gruyter
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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