A topological duality for monotone expansions of semilattices
Logic
2021-09-07 v1
Abstract
In this paper we provide a Stone style duality for monotone semilattices by using the topological duality developed in \cite{Celani2020} for semilattices together with a topological description of their canonical extension. As an application of this duality we obtain a characterization of the congruences of monotone semilattices by means of monotone lower-Vietoris-type topologies.
Keywords
Cite
@article{arxiv.2109.01728,
title = {A topological duality for monotone expansions of semilattices},
author = {Ismael Calomino and Paula Menchón and William J. Zuluaga Botero},
journal= {arXiv preprint arXiv:2109.01728},
year = {2021}
}