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cs.LO2026
From Zero-Dimensional to Continuous Dualities: A Double-Categorical Account
Alexander Kurz, M. Andrew Moshier, Achim Jung
We investigate how to systematically construct continuous dualities from zero-dimensional dualities, employing well-known methods from algebra, topology, category theory, and domai…
cs.LO2019
Stone Duality for Relations
Alexander Kurz, Andrew Moshier, Achim Jung
We show how Stone duality can be extended from maps to relations. This is achieved by working order enriched and defining a relation from A to B as both an order-preserving functio…