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Constructing compacta from posets
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SYSNO ASEP 0602328 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Constructing compacta from posets Author(s) Bartoš, Adam (MU-W) SAI, RID, ORCID
Bice, Tristan (MU-W) SAI, ORCID, RID
Vignati, A. (FR)Source Title Publicacions Matematiques. - : Universidad Autonoma de Madrid - ISSN 0214-1493
Roč. 69, č. 1 (2025), s. 217-265Number of pages 49 s. Publication form Print - P Language eng - English Country ES - Spain Keywords posets ; filters ; compacta ; Stone duality Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GX20-31529X GA ČR - Czech Science Foundation (CSF) GF22-07833K GA ČR - Czech Science Foundation (CSF) Method of publishing Open access Institutional support MU-W - RVO:67985840 UT WOS 001379658500010 EID SCOPUS 85219092547 DOI https://doi.org/10.5565/PUBLMAT6912510 Annotation We 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2026 Electronic address https://doi.org/10.5565/PUBLMAT6912510
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