Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/89466
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Gutiérrez García, Javier | - |
dc.contributor.author | Picado, Jorge | - |
dc.date.accessioned | 2020-06-04T16:22:33Z | - |
dc.date.available | 2020-06-04T16:22:33Z | - |
dc.date.issued | 2013 | - |
dc.identifier.uri | https://hdl.handle.net/10316/89466 | - |
dc.description.abstract | There are insertion-type characterizations in pointfree topology that extend well known insertion theorems in point-set topology for all relevant higher separation axioms with one notable exception: complete regularity. In this paper we fill this gap. The situation reveals to be an interesting and peculiar one: contrarily to what happens with all the other higher separation axioms, the extension to the pointfree setting of the classical insertion result for completely regular spaces characterizes a formally weakerclass of frames introduced in this paper (called completely c-regular frames). The fact that any compact sublocale (quotient) of a completely regular frame is a C-sublocale (C-quotient) is obtained as a corollary. | pt |
dc.language.iso | eng | pt |
dc.relation | PEst-C/MAT/UI0324/2013 | pt |
dc.rights | openAccess | pt |
dc.subject | Frame, locale, sublocale, completely separated sublocales, compact sublocale, compact-like real function, complete regular frame, upper semicontinuous, lower semicontinuous, insertion, insertion theorem, C-embedding, C∗-embedding | pt |
dc.title | Insertion and extension results for pointfree complete regularity | pt |
dc.type | article | - |
degois.publication.firstPage | 675 | pt |
degois.publication.lastPage | 687 | pt |
degois.publication.issue | 4 | pt |
degois.publication.title | Bulletin of the Belgian Mathematical Society - Simon Stevin | pt |
dc.relation.publisherversion | https://projecteuclid.org/euclid.bbms/1382448188 | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.36045/bbms/1382448188 | pt |
degois.publication.volume | 20 | pt |
dc.date.embargo | 2013-01-01 | * |
uc.date.periodoEmbargo | 0 | pt |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0001-7837-1221 | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
bbmsGuGaPic.pdf | 117.81 kB | Adobe PDF | View/Open |
SCOPUSTM
Citations
2
checked on Sep 23, 2024
Page view(s)
245
checked on Oct 1, 2024
Download(s)
122
checked on Oct 1, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.