Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/112642
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Arrieta, Igor | - |
dc.contributor.author | Avilez, Ana Belén | - |
dc.date.accessioned | 2024-02-02T10:38:57Z | - |
dc.date.available | 2024-02-02T10:38:57Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 00224049 | pt |
dc.identifier.uri | https://hdl.handle.net/10316/112642 | - |
dc.description.abstract | A general insertion theorem due to Preiss and Vilimovský is extended to the category of locales. More precisely, given a preuniform structure on a locale we provide necessary and sufficient conditions for a pair f≥gof localic real functions to admit a uniformly continuous real function in-between. As corollaries, separation and extension results for uniform locales are proved. The proof of the main theorem relies heavily on (pre-)diameters in locales as a substitute for classical pseudometrics. On the way, several general properties concerning these (pre-)diameters are also shown. | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.rights | openAccess | pt |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt |
dc.subject | Locale | pt |
dc.subject | Frame | pt |
dc.subject | Cover | pt |
dc.subject | Insertion theorem | pt |
dc.subject | Extension theorem | pt |
dc.subject | Separation theorem | pt |
dc.title | A general insertion theorem for uniform locales | pt |
dc.type | article | - |
degois.publication.firstPage | 107320 | pt |
degois.publication.issue | 7 | pt |
degois.publication.title | Journal of Pure and Applied Algebra | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.1016/j.jpaa.2023.107320 | pt |
degois.publication.volume | 227 | pt |
dc.date.embargo | 2023-01-01 | * |
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 | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais FCTUC Matemática - Artigos em Revistas Internacionais |
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File | Description | Size | Format | |
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A general insertion theorem for uniform locales.pdf | 506.96 kB | Adobe PDF | View/Open |
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This item is licensed under a Creative Commons License