Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11276
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Gutiérrez García, Javier | - |
dc.contributor.author | Kubiak, Tomasz | - |
dc.contributor.author | Picado, Jorge | - |
dc.date.accessioned | 2009-09-01T13:10:49Z | - |
dc.date.available | 2009-09-01T13:10:49Z | - |
dc.date.issued | 2007 | - |
dc.identifier.citation | Pré-Publicações DMUC. 07-41 (2007) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11276 | - |
dc.description.abstract | In this paper we prove two strict insertion theorems for frame homomorphisms. When applied to the frame of all open subsets of a topological space they are equivalent to the insertion statements of the classical theorems of Dowker and Michael regarding, respectively, normal countably paracompact spaces and perfectly normal spaces. In addition, a study of perfect normality for frames is made. | en_US |
dc.description.sponsorship | Ministry of Education and Science of Spain and FEDER under grant MTM2006-14925-C02-02. The third named author acknowledges financial support from the Centre of Mathematics of the University of Coimbra/FCT. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | eng |
dc.subject | Frame | en_US |
dc.subject | Sublocale | en_US |
dc.subject | Insertion theorem | en_US |
dc.subject | Extension theorem | en_US |
dc.subject | Kat¡etov relation | en_US |
dc.subject | Continuous real function on a frame | en_US |
dc.subject | Lower semicontinuous | en_US |
dc.subject | Upper semicontinuous | en_US |
dc.subject | Normal frame | en_US |
dc.subject | Perfectly normal frame | en_US |
dc.subject | Countably paracompact frame | en_US |
dc.title | Pointfree forms of Dowker and Michael insertion theorems | en_US |
dc.type | preprint | en_US |
uc.controloAutoridade | Sim | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.openairetype | preprint | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.languageiso639-1 | en | - |
crisitem.author.dept | Faculty of Sciences and Technology | - |
crisitem.author.parentdept | University of Coimbra | - |
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 | |
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Pointfree forms of Dowker and Michael insertion theorems.pdf | 188.12 kB | Adobe PDF | View/Open |
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