Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/11233
DC FieldValueLanguage
dc.contributor.authorFerreira, Maria João-
dc.contributor.authorGutiérrez García, Javier-
dc.contributor.authorPicado, Jorge-
dc.date.accessioned2009-08-27T14:44:10Z-
dc.date.available2009-08-27T14:44:10Z-
dc.date.issued2008-
dc.identifier.citationPré-Publicações DMUC. 08-42 (2008)en_US
dc.identifier.urihttp://hdl.handle.net/10316/11233-
dc.description.abstractUp to now point-free insertion results have been obtained only for semicontinuous real functions. Notably, there is now available a setting for dealing with arbitrary, not necessarily (semi-)continuous, point-free real functions, due to Guti errez Garc a, Kubiak and Picado, that gives point-free topology the freedom to deal with general real functions only available before to point-set topology. As a rst example of the usefulness of that setting, we apply it to characterize completely normal frames in terms of an insertion result for general real functions. This characterization extends a well known classical result of T. Kubiak about completely normal spaces. In addition, characterizations of completely normal frames that extend results of H. Simmons for topological spaces are presented. In particular, it follows that complete normality is a lattice-invariant property of spaces, correcting an erroneous conclusion in [Y.-M. Wong, Lattice-invariant properties of topological spaces, Proc. Amer. Math. Soc. 26 (1970) 206-208].en_US
dc.description.sponsorshipCentre of Mathematics of the University of Coimbra/FCT; Ministry of Education and Science of Spain; FEDER MTM2006-14925-C02-02; University of the Basque Country under grant GIU07/27en_US
dc.language.isoengen_US
dc.publisherCentro de Matemática da Universidade de Coimbraen_US
dc.rightsopenAccesseng
dc.subjectFrameen_US
dc.subjectLocalic real functionen_US
dc.subjectNormal frameen_US
dc.subjectCompletely normal frameen_US
dc.subjectCompletely normal spaceen_US
dc.subjectExtremally disconnected frameen_US
dc.subjectInsertionen_US
dc.subjectUpper and lower regularizationsen_US
dc.titleCompletely normal frames and real-valued functionsen_US
dc.typepreprinten_US
item.fulltextCom Texto completo-
item.grantfulltextopen-
item.languageiso639-1en-
crisitem.author.deptFaculdade de Ciências e Tecnologia, Universidade de Coimbra-
crisitem.author.parentdeptUniversidade de Coimbra-
crisitem.author.researchunitCenter for Mathematics, University of Coimbra-
crisitem.author.orcid0000-0001-7837-1221-
Appears in Collections:FCTUC Matemática - Vários
Files in This Item:
File Description SizeFormat
Completely normal frames and real-valued functions.pdf227.84 kBAdobe PDFView/Open
Show simple item record

Page view(s)

116
checked on Aug 21, 2019

Download(s)

39
checked on Aug 21, 2019

Google ScholarTM

Check


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