Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/13708
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Gutiérrez García, Javier | - |
dc.contributor.author | Picado, Jorge | - |
dc.date.accessioned | 2010-08-24T13:18:51Z | - |
dc.date.available | 2010-08-24T13:18:51Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | Pré-Publicações DMUC. 10-08 (2010) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/13708 | - |
dc.description.abstract | This paper deals with the algebra F(L) of real functions of a frame L and its subclasses LSC(L) and USC(L) of, respectively, lower and upper semicontinuous real functions. It is well-known that F(L) is a lattice-ordered ring; this paper presents explicit formulas for its algebraic operations which allow to conclude about their behaviour in LSC(L) and USC(L). As applications, idempotent functions are characterized and the results of [10] about strict insertion of functions are signi cantly improved: general pointfree formulations that correspond exactly to the classical strict insertion results of Dowker and Michael regarding, respectively, normal countably paracompact spaces and perfectly normal spaces are derived. The paper ends with a brief discussion concerning the frames in which every arbitrary real function on the -dissolution of the frame is continuous | 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 | Frame | en_US |
dc.subject | Locale | en_US |
dc.subject | Sublocale | en_US |
dc.subject | Frame of reals | en_US |
dc.subject | Scale | en_US |
dc.subject | Frame real function | en_US |
dc.subject | Continuous real function | en_US |
dc.subject | Lower semicontinuous | en_US |
dc.subject | Upper semicontinuous | en_US |
dc.subject | Lattice-ordered ring | en_US |
dc.subject | Ring of continuous functions in pointfree topology | en_US |
dc.subject | Strict insertion | en_US |
dc.title | Rings of real functions in Pointfree Topology | en_US |
dc.type | preprint | en_US |
degois.publication.issue | 10-08 | en_US |
degois.publication.location | Coimbra | en_US |
degois.publication.title | Pré-Publicações DMUC | en_US |
uc.controloAutoridade | Sim | - |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.languageiso639-1 | en | - |
item.openairetype | preprint | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0001-7837-1221 | - |
Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Rings of real functions in Pointfree Topology.pdf | 388.25 kB | Adobe PDF | View/Open |
Page view(s) 50
553
checked on Oct 16, 2024
Download(s)
196
checked on Oct 16, 2024
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.