A topological duality for monotone expansions of semilattices
Abstract
In this paper we provide a Stone style duality for monotone semilattices by using the topological duality developed in 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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