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An open mapping theorem for finitely copresented Esakia spaces (1710.01630v2)
Published 4 Oct 2017 in math.LO, math.GN, and math.RA
Abstract: We prove an open mapping theorem for the topological spaces dual to finitely presented Heyting algebras. This yields in particular a short, self-contained semantic proof of the uniform interpolation theorem for intuitionistic propositional logic, first proved by Pitts in 1992. Our proof is based on the methods of Ghilardi & Zawadowski. However, our proof does not require sheaves nor games, only basic duality theory for Heyting algebras.
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