Stone Duality for Preordered Topological Spaces
General Topology
2026-01-21 v1 Category Theory
Abstract
A preordered topological space is a topological space with a preordering. We exhibit a Stone-like duality for preordered topological spaces, Inspired by a similar duality for bitopological spaces, due to Jung-Moshier and Jakl, and by a duality for preordered sets due to Bonsangue, Jacobs and Kok.
Cite
@article{arxiv.2601.12932,
title = {Stone Duality for Preordered Topological Spaces},
author = {Jean Goubault-Larrecq},
journal= {arXiv preprint arXiv:2601.12932},
year = {2026}
}
Comments
30 pages