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arXiv · 2307.01143

Constructing Compacta from Posets

Adam Bartoš·Tristan Bice·Alessandro Vignati
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Abstract

We develop a simple method of constructing topological spaces from countable posets with finite levels, one which applies to all second countable T_1 compacta. This results in a duality amenable to building such spaces from finite building blocks, essentially an abstract analog of classical constructions defining compacta from progressively finer open covers.

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Adam Bartoš, Tristan Bice, Alessandro Vignati. 2023-07-03. Constructing Compacta from Posets. https://doi.org/10.5565/publmat6912510

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