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Constructing compacta from posets

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    SYSNO ASEP0602328
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleConstructing compacta from posets
    Author(s) Bartoš, Adam (MU-W) SAI, RID, ORCID
    Bice, Tristan (MU-W) SAI, ORCID, RID
    Vignati, A. (FR)
    Source TitlePublicacions Matematiques. - : Universidad Autonoma de Madrid - ISSN 0214-1493
    Roč. 69, č. 1 (2025), s. 217-265
    Number of pages49 s.
    Publication formPrint - P
    Languageeng - English
    CountryES - Spain
    Keywordsposets ; filters ; compacta ; Stone duality
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    R&D ProjectsGX20-31529X GA ČR - Czech Science Foundation (CSF)
    GF22-07833K GA ČR - Czech Science Foundation (CSF)
    Method of publishingOpen access
    Institutional supportMU-W - RVO:67985840
    UT WOS001379658500010
    EID SCOPUS85219092547
    DOI https://doi.org/10.5565/PUBLMAT6912510
    AnnotationWe develop a simple method of constructing topological spaces from countable posets with finite levels, one which applies to all second-countable T1 compacta. This results in a duality amenable to building such spaces from finite building blocks, essentially an abstract analogue of classical constructions defining compacta from progressively finer open covers.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2026
    Electronic addresshttps://doi.org/10.5565/PUBLMAT6912510
Number of the records: 1  

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