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arXiv · 2109.01728

A topological duality for monotone expansions of semilattices

Ismael Calomino·Paula Menchón·William J. Zuluaga Botero
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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.

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Ismael Calomino, Paula Menchón, William J. Zuluaga Botero. 2021-09-03. A topological duality for monotone expansions of semilattices. https://arxiv.org/abs/2109.01728

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