Algebraic Theories for Continuous Semilattices

Abstract

Continuous lattices were introduced by D. Scott in [5]; they have been studied intensively and found numerous applications We refer to the Compendium [1] for a comprehensive survey of continuous lattices and related topics. In some applications, e.g. in K. Keimel’s study of compact convex sets in locally convex topological vector spaces [2], continuous sup semilattices have been useful.