Constructing Compacta from Posets
General Topology
2024-12-06 v2 Category Theory
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.
Cite
@article{arxiv.2307.01143,
title = {Constructing Compacta from Posets},
author = {Adam Bartoš and Tristan Bice and Alessandro Vignati},
journal= {arXiv preprint arXiv:2307.01143},
year = {2024}
}