Matches in SemOpenAlex for { <https://semopenalex.org/work/W2015465752> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W2015465752 endingPage "2439" @default.
- W2015465752 startingPage "2397" @default.
- W2015465752 abstract "This paper studies localic products, traditional topological products, and L-topological products, and gives a complete outline of the localic product. Comparisons of localic and L-topological products are generally absent in the literature, and this paper answers longstanding open questions in that area as well as provides a complete proof of the classical comparison theorem for localic and traditional topological products. This paper contributes several L-valued comparison theorems, one of which states: the localic and L-topological products of L-topologies are order isomorphic if and only if the localic product is L-spatial, providing L is itself spatial and the family of L-topological spaces is “prime separated”. These last two conditions always hold in the traditional setting, capturing the traditional comparison theorem as a special case, and the prime separation condition is satisfied by important lattice-valued examples that include the fuzzy real line and the fuzzy unit interval for L any complete Boolean algebra and the alternative fuzzy real line and fuzzy unit interval for L any (semi)frame. Separation conditions help control the “sloppy” behavior of the L-topological product when |L|>2, and several separation conditions are studied in this context; and it should be noted that localic products have a point-free version of the “product” separation condition considered in this paper. The traditional comparison theorem is carefully proved both to fill gaps in the extant literature and to motivate the L-valued comparison theorem quoted above and reveal the special role played by cross sums of prime (L-)open subsets. En route, characterizations are given of prime L-open subsets of certain L-products, which in turn yield characterizations of prime open and irreducible closed subsets of traditional product spaces." @default.
- W2015465752 created "2016-06-24" @default.
- W2015465752 creator A5015958599 @default.
- W2015465752 creator A5031185336 @default.
- W2015465752 date "2010-09-01" @default.
- W2015465752 modified "2023-09-27" @default.
- W2015465752 title "Overview and comparison of localic and fixed-basis topological products" @default.
- W2015465752 cites W108324036 @default.
- W2015465752 cites W11065660 @default.
- W2015465752 cites W114164077 @default.
- W2015465752 cites W1582269801 @default.
- W2015465752 cites W1590132158 @default.
- W2015465752 cites W1602062035 @default.
- W2015465752 cites W1973002978 @default.
- W2015465752 cites W1988651778 @default.
- W2015465752 cites W1999194606 @default.
- W2015465752 cites W2007010464 @default.
- W2015465752 cites W2011949087 @default.
- W2015465752 cites W2032386884 @default.
- W2015465752 cites W2051043980 @default.
- W2015465752 cites W2055390537 @default.
- W2015465752 cites W2069508716 @default.
- W2015465752 cites W2081027033 @default.
- W2015465752 cites W2086656911 @default.
- W2015465752 cites W2138990246 @default.
- W2015465752 cites W2159120389 @default.
- W2015465752 cites W2176710818 @default.
- W2015465752 cites W2227597917 @default.
- W2015465752 cites W2245652046 @default.
- W2015465752 doi "https://doi.org/10.1016/j.fss.2010.05.013" @default.
- W2015465752 hasPublicationYear "2010" @default.
- W2015465752 type Work @default.
- W2015465752 sameAs 2015465752 @default.
- W2015465752 citedByCount "15" @default.
- W2015465752 countsByYear W20154657522012 @default.
- W2015465752 countsByYear W20154657522013 @default.
- W2015465752 countsByYear W20154657522014 @default.
- W2015465752 countsByYear W20154657522015 @default.
- W2015465752 crossrefType "journal-article" @default.
- W2015465752 hasAuthorship W2015465752A5015958599 @default.
- W2015465752 hasAuthorship W2015465752A5031185336 @default.
- W2015465752 hasConcept C114614502 @default.
- W2015465752 hasConcept C118615104 @default.
- W2015465752 hasConcept C121332964 @default.
- W2015465752 hasConcept C128394911 @default.
- W2015465752 hasConcept C151730666 @default.
- W2015465752 hasConcept C154945302 @default.
- W2015465752 hasConcept C183992945 @default.
- W2015465752 hasConcept C184720557 @default.
- W2015465752 hasConcept C201640847 @default.
- W2015465752 hasConcept C2524010 @default.
- W2015465752 hasConcept C2779343474 @default.
- W2015465752 hasConcept C33923547 @default.
- W2015465752 hasConcept C41008148 @default.
- W2015465752 hasConcept C42011625 @default.
- W2015465752 hasConcept C58166 @default.
- W2015465752 hasConcept C62520636 @default.
- W2015465752 hasConcept C81332173 @default.
- W2015465752 hasConcept C86803240 @default.
- W2015465752 hasConcept C90673727 @default.
- W2015465752 hasConceptScore W2015465752C114614502 @default.
- W2015465752 hasConceptScore W2015465752C118615104 @default.
- W2015465752 hasConceptScore W2015465752C121332964 @default.
- W2015465752 hasConceptScore W2015465752C128394911 @default.
- W2015465752 hasConceptScore W2015465752C151730666 @default.
- W2015465752 hasConceptScore W2015465752C154945302 @default.
- W2015465752 hasConceptScore W2015465752C183992945 @default.
- W2015465752 hasConceptScore W2015465752C184720557 @default.
- W2015465752 hasConceptScore W2015465752C201640847 @default.
- W2015465752 hasConceptScore W2015465752C2524010 @default.
- W2015465752 hasConceptScore W2015465752C2779343474 @default.
- W2015465752 hasConceptScore W2015465752C33923547 @default.
- W2015465752 hasConceptScore W2015465752C41008148 @default.
- W2015465752 hasConceptScore W2015465752C42011625 @default.
- W2015465752 hasConceptScore W2015465752C58166 @default.
- W2015465752 hasConceptScore W2015465752C62520636 @default.
- W2015465752 hasConceptScore W2015465752C81332173 @default.
- W2015465752 hasConceptScore W2015465752C86803240 @default.
- W2015465752 hasConceptScore W2015465752C90673727 @default.
- W2015465752 hasIssue "18" @default.
- W2015465752 hasLocation W20154657521 @default.
- W2015465752 hasOpenAccess W2015465752 @default.
- W2015465752 hasPrimaryLocation W20154657521 @default.
- W2015465752 hasRelatedWork W1972049503 @default.
- W2015465752 hasRelatedWork W1981153708 @default.
- W2015465752 hasRelatedWork W2013211259 @default.
- W2015465752 hasRelatedWork W2114395106 @default.
- W2015465752 hasRelatedWork W2149200726 @default.
- W2015465752 hasRelatedWork W2380212594 @default.
- W2015465752 hasRelatedWork W240886142 @default.
- W2015465752 hasRelatedWork W2547900907 @default.
- W2015465752 hasRelatedWork W62803531 @default.
- W2015465752 hasRelatedWork W77437035 @default.
- W2015465752 hasVolume "161" @default.
- W2015465752 isParatext "false" @default.
- W2015465752 isRetracted "false" @default.
- W2015465752 magId "2015465752" @default.
- W2015465752 workType "article" @default.