A topological duality for monotone expansions of semilattices
Ismael Calomino, Paula Menchón, W. J. Zuluaga Botero · arXiv (Cornell University) · 2021
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.