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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

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

  • 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

  • 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