Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/90473
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ball, Richard N. | - |
dc.contributor.author | Picado, Jorge | - |
dc.contributor.author | Pultr, Aleš | - |
dc.date.accessioned | 2020-07-21T11:33:39Z | - |
dc.date.available | 2020-07-21T11:33:39Z | - |
dc.date.issued | 2019 | - |
dc.identifier.uri | https://hdl.handle.net/10316/90473 | - |
dc.description.abstract | The frame S_c(L) generated by closed sublocales of a locale L is known to be a natural Boolean (“discrete”) extension of a subfit L; also it is known to be its maximal essential extension. In this paper we first show that it is an essential extension of any L and that the maximal essential extensions of L and S_c(L) are isomorphic. The construction S_c is not functorial; this leads to the question of individual liftings of homomorphisms L → M to homomorphisms S_c(L) → S_c(M). This is trivial for Boolean L and easy for a wide class of spatial L, M. Then, we show that one can lift all h : L → 2 for weakly Hausdorff L (and hence the spectra of L and S_c(L) are naturally isomorphic), and finally present liftings of h : L → M for regular L and arbitrary Boolean M. | pt |
dc.language.iso | eng | pt |
dc.publisher | Taylor & Francis | pt |
dc.relation | UID/MAT/00324/2013 | pt |
dc.rights | embargoedAccess | pt |
dc.subject | Frame, locale, sublocale, sublocale lattice, essential extension, subfit, Booleanization | pt |
dc.title | Some aspects of (non) functoriality of natural discrete covers of locales | pt |
dc.type | article | - |
degois.publication.firstPage | 701 | pt |
degois.publication.lastPage | 715 | pt |
degois.publication.issue | 6 | pt |
degois.publication.title | Quaestiones Mathematicae | pt |
dc.relation.publisherversion | https://www.tandfonline.com/doi/abs/10.2989/16073606.2018.1485756 | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.2989/16073606.2018.1485756 | pt |
degois.publication.volume | 42 | pt |
dc.date.embargo | 2020-01-01 | * |
uc.date.periodoEmbargo | 365 | pt |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | article | - |
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: | I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
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BallPicadoPultrQM.pdf | 228.42 kB | Adobe PDF | View/Open |
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