Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11427
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ferreira, Maria João | - |
dc.contributor.author | Picado, Jorge | - |
dc.date.accessioned | 2009-09-15T10:24:18Z | - |
dc.date.available | 2009-09-15T10:24:18Z | - |
dc.date.issued | 2003 | - |
dc.identifier.citation | Pré-Publicações DMUC. 03-27 (2003) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11427 | - |
dc.description.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. | en_US |
dc.description.sponsorship | Centro de Matemática da Universidade de Coimbra/FCT | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | en_US |
dc.subject | Frames | en_US |
dc.subject | Biframes | en_US |
dc.subject | Weil entourages | en_US |
dc.subject | Quasi-uniform frames | en_US |
dc.subject | Transitive quasi-uniformities | en_US |
dc.subject | Totally bounded quasi-uniformities | en_US |
dc.subject | Functorial quasi-uniformities | en_US |
dc.subject | Fletcher construction | en_US |
dc.subject | Spectrum covers | en_US |
dc.subject | Biframe of reals | en_US |
dc.subject | Semicontinuous real functions | en_US |
dc.title | The semicontinuous quasi-uniformity of a frame | en_US |
dc.type | preprint | en_US |
uc.controloAutoridade | Sim | - |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | preprint | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0001-7837-1221 | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
The semicontinuous quasi-uniformity of a frame.pdf | 178.8 kB | Adobe PDF | View/Open |
Page view(s) 50
453
checked on Oct 1, 2024
Download(s)
94
checked on Oct 1, 2024
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.