The semicontinuous frame quasi-uniformity, revisited

Bibliographic Details
Main Author: Ferreira, Maria João
Publication Date: 2009
Other Authors: Picado, Jorge
Format: Other
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/10316/13649
Summary: In this note we present a new treatment of the pointfree version of the semicontinuous quasi-uniformity based on the new tool of the ring of arbitrary (not necessarily continuous) real-valued functions made available recently by J. Guti errez Garc a, T. Kubiak and J. Picado [Localic real functions: a general setting, Journal of Pure and Applied Algebra 213 (2009) 1064-1074]. The purpose is to show how the basic facts about the semicontinuous quasi-uniformity can be easily presented and proved with that tool at hand.
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spelling The semicontinuous frame quasi-uniformity, revisitedFrameQuasi-uniform frameQuasi-uniform biframeQuasi-metric quasiuniformityTotally bounded quasi-uniformitySemicontinuous real functionBiframe of realsCountably compact frameIn this note we present a new treatment of the pointfree version of the semicontinuous quasi-uniformity based on the new tool of the ring of arbitrary (not necessarily continuous) real-valued functions made available recently by J. Guti errez Garc a, T. Kubiak and J. Picado [Localic real functions: a general setting, Journal of Pure and Applied Algebra 213 (2009) 1064-1074]. The purpose is to show how the basic facts about the semicontinuous quasi-uniformity can be easily presented and proved with that tool at hand.Centro de Matemática da Universidade de Coimbra2009info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/otherhttps://hdl.handle.net/10316/13649https://hdl.handle.net/10316/13649engPré-Publicações DMUC. 09-30 (2009)Ferreira, Maria JoãoPicado, Jorgeinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2020-05-29T09:42:10Zoai:estudogeral.uc.pt:10316/13649Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T05:23:24.918964Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv The semicontinuous frame quasi-uniformity, revisited
title The semicontinuous frame quasi-uniformity, revisited
spellingShingle The semicontinuous frame quasi-uniformity, revisited
Ferreira, Maria João
Frame
Quasi-uniform frame
Quasi-uniform biframe
Quasi-metric quasiuniformity
Totally bounded quasi-uniformity
Semicontinuous real function
Biframe of reals
Countably compact frame
title_short The semicontinuous frame quasi-uniformity, revisited
title_full The semicontinuous frame quasi-uniformity, revisited
title_fullStr The semicontinuous frame quasi-uniformity, revisited
title_full_unstemmed The semicontinuous frame quasi-uniformity, revisited
title_sort The semicontinuous frame quasi-uniformity, revisited
author Ferreira, Maria João
author_facet Ferreira, Maria João
Picado, Jorge
author_role author
author2 Picado, Jorge
author2_role author
dc.contributor.author.fl_str_mv Ferreira, Maria João
Picado, Jorge
dc.subject.por.fl_str_mv Frame
Quasi-uniform frame
Quasi-uniform biframe
Quasi-metric quasiuniformity
Totally bounded quasi-uniformity
Semicontinuous real function
Biframe of reals
Countably compact frame
topic Frame
Quasi-uniform frame
Quasi-uniform biframe
Quasi-metric quasiuniformity
Totally bounded quasi-uniformity
Semicontinuous real function
Biframe of reals
Countably compact frame
description In this note we present a new treatment of the pointfree version of the semicontinuous quasi-uniformity based on the new tool of the ring of arbitrary (not necessarily continuous) real-valued functions made available recently by J. Guti errez Garc a, T. Kubiak and J. Picado [Localic real functions: a general setting, Journal of Pure and Applied Algebra 213 (2009) 1064-1074]. The purpose is to show how the basic facts about the semicontinuous quasi-uniformity can be easily presented and proved with that tool at hand.
publishDate 2009
dc.date.none.fl_str_mv 2009
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/other
format other
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10316/13649
https://hdl.handle.net/10316/13649
url https://hdl.handle.net/10316/13649
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Pré-Publicações DMUC. 09-30 (2009)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Centro de Matemática da Universidade de Coimbra
publisher.none.fl_str_mv Centro de Matemática da Universidade de Coimbra
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833602339529818112

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