Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/90469
DC Field | Value | Language |
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dc.contributor.author | Picado, Jorge | - |
dc.contributor.author | Pultr, Aleš | - |
dc.date.accessioned | 2020-07-20T15:59:23Z | - |
dc.date.available | 2020-07-20T15:59:23Z | - |
dc.date.issued | 2019 | - |
dc.identifier.uri | https://hdl.handle.net/10316/90469 | - |
dc.description.abstract | More precisely, we are analyzing some of H. Simmons, S. B. Niefield and K. I. Rosenthal results concerning sublocales induced by subspaces. H. Simmons was concerned with the question when the coframe of sublocales is Boolean; he recognized the role of the axiom $T_D$ for the relation of certain degrees of scatteredness but did not emphasize its role in the relation {between} sublocales and subspaces. S. B. Niefield and K. I. Rosenthal just mention this axiom in a remark about Simmons' result. In this paper we show that the role of $T_D$ in this question is crucial. Concentration on the properties of $T_D$-spaces and technique of sublocales in this context allows us to present a simple, transparent and choice-free proof of the scatteredness theorem. | pt |
dc.language.iso | eng | pt |
dc.publisher | Mathematical Institute of Charles University | pt |
dc.relation | UID/MAT/00324/2019 | pt |
dc.rights | embargoedAccess | pt |
dc.subject | Frame; locale; sublocale; coframe of sublocales; spatial sublocale; induced sublocale; $T_D$-separation; covered prime element; scattered space; weakly scattered space. | pt |
dc.title | Axiom TD and the Simmons sublocale theorem | pt |
dc.type | article | - |
degois.publication.firstPage | 541 | pt |
degois.publication.lastPage | 551 | pt |
degois.publication.issue | 4 | pt |
degois.publication.title | Comment.Math.Univ.Carolin. | pt |
dc.relation.publisherversion | https://cmuc.karlin.mff.cuni.cz/cmuc1904/abs/picpul.htm | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.14712/1213-7243.2019.030 | pt |
degois.publication.volume | 60 | pt |
dc.date.embargo | 2020-12-31 | * |
uc.date.periodoEmbargo | 730 | pt |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.openairetype | article | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
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: | I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
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Picado_Pultr(revised).pdf | 309.91 kB | Adobe PDF | View/Open |
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