Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/11427
Title: The semicontinuous quasi-uniformity of a frame
Authors: Ferreira, Maria João 
Picado, Jorge 
Keywords: 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
Issue Date: 2003
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 03-27 (2003)
Abstract: 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: http://hdl.handle.net/10316/11427
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais

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