Algebraic Theories for Continuous Semilattices
Continuous lattices were introduced by D. Scott in ; they have been studied intensively and found numerous applications We refer to the Compendium  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 , continuous sup semilattices have been useful.
KeywordsNatural Transformation Algebraic Theory Compact Hausdorff Space Continuous Lattice Forgetful Functor
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