A four for the price of one duality principle for distributive spaces
General Topology
2011-02-15 v1 Category Theory
Abstract
In this paper we consider topological spaces as generalised orders and characterise those spaces which satisfy a (suitably defined) topological distributive law. Furthermore, we show that the category of these spaces is dually equivalent to a certain category of frames by simply observing that both sides represent the idempotents split completion of the same category.
Keywords
Cite
@article{arxiv.1102.2605,
title = {A four for the price of one duality principle for distributive spaces},
author = {Dirk Hofmann},
journal= {arXiv preprint arXiv:1102.2605},
year = {2011}
}