Topological Duality for Distributive Lattices: Theory and Applications

Mai Gehrke; Sam van Gool

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arXiv · 2203.03286

Topological Duality for Distributive Lattices: Theory and Applications

Mai Gehrke·Sam van Gool

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Abstract

This book is a course in Stone-Priestley duality theory, with applications to logic and theoretical computer science. Our target audience are graduate students and researchers in mathematics and computer science. Our aim is to get in a fairly full palette of duality tools as directly and quickly as possible, then to illustrate and further elaborate these tools within the setting of three emblematic applications: semantics of propositional logics, domain theory in logical form, and the theory of profinite monoids for the study of regular languages and automata.

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Mai Gehrke, Sam van Gool. 2022-03-07. Topological Duality for Distributive Lattices: Theory and Applications. https://arxiv.org/abs/2203.03286

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