Constructing compacta from posets

• Autores: Adam Bartoš, Tristan Bice, Alessandro Vignati
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 69, Nº 1, 2025, págs. 217-265
• Idioma: inglés
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• Resumen

  • 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.