A topological duality for monotone expansions of semilattices
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Publication:6376817
DOI10.1007/S10485-022-09690-0arXiv2109.01728MaRDI QIDQ6376817
Paula Menchón, William J. Zuluaga Botero, Ismael Calomino
Publication date: 3 September 2021
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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