Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/13653
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Picado, Jorge | - |
dc.contributor.author | Pultr, Aleš | - |
dc.date.accessioned | 2010-08-20T12:56:34Z | - |
dc.date.available | 2010-08-20T12:56:34Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | Pré-Publicações DMUC. 10-25 (2010) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/13653 | - |
dc.description.abstract | The strong inclusion, a speci c type of subrelation of the order of a lattice with pseudocomplements, has been used in the concrete case of the lattice of open sets in topology for an expedient de nition of proximity, and allowed for a natural point-free extension of this concept. A modi cation of a strong inclusion for biframes then provided a point-free model also for the non-symmetric variant. In this paper we show that a strong inclusion can be non-symmetrically modi ed to work directly on frames, without prior assumption of a biframe structure. The category of quasi-proximal frames thus obtained is shown to be concretely isomorphic with the biframe based one, and shown to be related to that of quasi-uniform frames in a full analogy with the symmetric case. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | en_US |
dc.subject | Frame | en_US |
dc.subject | Biframe | en_US |
dc.subject | Pseudocomplement | en_US |
dc.subject | Strong inclusion | en_US |
dc.subject | Paircover | en_US |
dc.subject | Quasiuniform frame | en_US |
dc.subject | Quasi-proximal frame | en_US |
dc.subject | Total boundedness | en_US |
dc.title | On strong inclusions and asymmetric proximities in frames | en_US |
dc.type | preprint | en_US |
degois.publication.issue | 10-25 | en_US |
degois.publication.location | Coimbra | en_US |
degois.publication.title | Pré-Publicações DMUC | en_US |
uc.controloAutoridade | Sim | - |
item.openairetype | preprint | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
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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On strong inclusions and asymmetric proximities in frames.pdf | 142.49 kB | Adobe PDF | View/Open |
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