A Topological Duality for Monotone Expansions of Semilattices.

Autor: Calomino, Ismael, Menchón, Paula, Botero, William J. Zuluaga
Zdroj: Applied Categorical Structures; Dec2022, Vol. 30 Issue 6, p1257-1282, 26p
Abstrakt: In this paper we provide a Stone style duality for monotone semilattices by using the topological duality developed in S. Celani, L.J. González (Appl Categ Struct 28:853–875, 2020) 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index