Stone Duality for Preordered Topological Spaces

Fuente: arXiv
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Auteur principal: Goubault-Larrecq, Jean
Format: Preprint
Publié: 2026
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author Goubault-Larrecq, Jean
author_facet Goubault-Larrecq, Jean
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_12932
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Stone Duality for Preordered Topological Spaces
Goubault-Larrecq, Jean
General Topology
Category Theory
18F70
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.
title Stone Duality for Preordered Topological Spaces
topic General Topology
Category Theory
18F70
url https://arxiv.org/abs/2601.12932