0602328 - MÚ 2026 RIV ES eng J - Journal Article
Bartoš, Adam - Bice, Tristan - Vignati, A.
Constructing compacta from posets.
Publicacions Matematiques. Roč. 69, č. 1 (2025), s. 217-265. ISSN 0214-1493. E-ISSN 0214-1493
R&D Projects: GA ČR(CZ) GX20-31529X; GA ČR(CZ) GF22-07833K
Institutional support: RVO:67985840
Keywords : posets * filters * compacta * Stone duality
OECD category: Pure mathematics
Impact factor: 0.8, year: 2023 ; AIS: 1.028, rok: 2023
Method of publishing: Open access
Result website:
https://doi.org/10.5565/PUBLMAT6912510DOI: https://doi.org/10.5565/PUBLMAT6912510

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.
Permanent Link: https://hdl.handle.net/11104/0359455