JOINS OF CLOSED SUBLOCALES

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10404831" target="_blank" >RIV/00216208:11320/19:10404831 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=qsEO0Sgsxd" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=qsEO0Sgsxd</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
JOINS OF CLOSED SUBLOCALES
Original language description
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(Q(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).
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GBP202%2F12%2FG061" target="_blank" >GBP202/12/G061: Center of excellence - Institute for theoretical computer science (CE-ITI)</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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