Representation of inf-semilattices in the parts of a topological space. (Spanish: Representación de inf-semirretículos en las partes de un espacio topológico).

Abstract

The authors study a representation theory of certain lattices in terms of lattices of compact subsets of Wallman compactification of a topological space. Their work generalizes the famous Stone representation theory of Boolean algebras [M. H. Stone, Trans. Amer. Math. Soc. 41 (1937), 375–481]. It is hoped that applications of their representation theory will be forthcoming