Abstract
The standard contravariant adjunction between TOP (the category of topological spaces) and LAT (the category of distributive lattices) induces a triple Λ on LAT and a triple Σ on TOP. We show that the category LAT Λ of Λ-algebras is just the category of frames, and describe the category TOP Σ of Σ-algebras as a subcategory of TOP.
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