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https://hdl.handle.net/10316/11427
Título: | The semicontinuous quasi-uniformity of a frame | Autor: | Ferreira, Maria João Picado, Jorge |
Palavras-chave: | Frames; Biframes; Weil entourages; Quasi-uniform frames; Transitive quasi-uniformities; Totally bounded quasi-uniformities; Functorial quasi-uniformities; Fletcher construction; Spectrum covers; Biframe of reals; Semicontinuous real functions | Data: | 2003 | Editora: | Centro de Matemática da Universidade de Coimbra | Citação: | Pré-Publicações DMUC. 03-27 (2003) | Resumo: | The aim of this note is to show how various facts in classical topology connected with semicontinuous functions and the semicontinuous quasi-uniformity have their counterparts in pointfree topology. In particular, we introduce the localic semicontinuous quasi-uniformity, which generalizes the semicontinuous quasiuniformity of a topological space (known to be one of the most important examples of transitive compatible quasi-uniformities). We show that it can be characterized in terms of the so called spectrum covers, via a construction introduced by the authors in a previous paper. Several consequences are derived. | URI: | https://hdl.handle.net/10316/11427 | Direitos: | openAccess |
Aparece nas coleções: | FCTUC Matemática - Artigos em Revistas Nacionais |
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Ficheiro | Descrição | Tamanho | Formato | |
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The semicontinuous quasi-uniformity of a frame.pdf | 178.8 kB | Adobe PDF | Ver/Abrir |
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