Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/90477
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Picado, Jorge | - |
dc.contributor.author | Pultr, Aleš | - |
dc.contributor.author | Tozzi, Anna | - |
dc.date.accessioned | 2020-07-24T10:30:39Z | - |
dc.date.available | 2020-07-24T10:30:39Z | - |
dc.date.issued | 2019 | - |
dc.identifier.uri | https://hdl.handle.net/10316/90477 | - |
dc.description.abstract | Sublocales that are joins of closed ones constitute a frame S_Vc(L) embedded as a sup-sublattice into the coframe S(L) of sublocales of L. We prove that in the case of subfit L it is a subcolocale of S(L), that it is then a Boolean algebra and in fact precisely the Booleanization of S(L). In case of a T_1-space X, S_Vc(\Omega(X)) picks precisely the sublocales corresponding to induced subspaces. In linear L and more generally if L is also a coframe, S_Vc(L) is both a frame and a coframe, but with trivial exceptions not Boolean and not a subcolocale of S(L). | pt |
dc.language.iso | eng | pt |
dc.publisher | University of Houston | pt |
dc.relation | UID/MAT/00324/2013 | pt |
dc.rights | embargoedAccess | pt |
dc.subject | Frame, locale, sublocale, nucleus, sublocale lattice, coframe, open sublocale, closed sublocale, T1-space, induced subspace, subfit frame, fit frame, Booleanization. | pt |
dc.title | Joins of closed sublocales | pt |
dc.type | article | - |
degois.publication.firstPage | 21 | pt |
degois.publication.lastPage | 38 | pt |
degois.publication.title | Houston Journal of Mathematics | pt |
dc.relation.publisherversion | https://www.math.uh.edu/~hjm/Vol45-1.html | pt |
dc.peerreviewed | yes | pt |
degois.publication.volume | 45 | pt |
dc.date.embargo | 2024-12-30 | * |
uc.date.periodoEmbargo | 2190 | pt |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | embargo_20241230 | - |
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: | I&D CMUC - Artigos em Revistas Internacionais |
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SJC(L)final.pdf | 348.26 kB | Adobe PDF | Embargo Access Request a copy |
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