Uniformities and a quantale structure on localic groups
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10455257" target="_blank" >RIV/00216208:11320/22:10455257 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Mi.KrpkLR7" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Mi.KrpkLR7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.36045/j.bbms.210823" target="_blank" >10.36045/j.bbms.210823</a>
Alternative languages
Result language
angličtina
Original language name
Uniformities and a quantale structure on localic groups
Original language description
Similarly like classical topological groups, the point-free counterparts, localic groups, possess natural uniformities (see e.g. [4,2,10]) obtained from an involutive binary operation on L (roughly corresponding to the algebra of subsets of a classical group). It is the operation that naturally induces the uniformities (even if it would not result from a group) and a study of this aspect of the construction is the main topic of this article. We have here a functor associating with the localic groups quantales of a special type (and with frame group homomorphisms quantale homomorphisms) which are shown to create the uniformities, in fact as a special case of the natural uniformities connected with metric structures. Also, we present a condition under which the quantale allows a reconstruction of the localic group.
Czech name
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Czech description
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Classification
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
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Bulletin of the Belgian Mathematical Society - Simon Stevin
ISSN
1370-1444
e-ISSN
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Volume of the periodical
28
Issue of the periodical within the volume
4
Country of publishing house
BE - BELGIUM
Number of pages
18
Pages from-to
561-578
UT code for WoS article
000996708000005
EID of the result in the Scopus database
2-s2.0-85161989389