Please use this identifier to cite or link to this item:
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.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais

Files in This Item:
File Description SizeFormat
The semicontinuous quasi-uniformity of a frame.pdf178.8 kBAdobe PDFView/Open
Show full item record

Page view(s) 50

checked on Dec 5, 2022


checked on Dec 5, 2022

Google ScholarTM


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.