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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…
math.CT2026
Canonical Extensions of Quantale-Enriched Categories
Alexander Kurz, Apostolos Tzimoulis
Drawing on well-known results from the theory of canonical extensions and the theory of categories enriched over a quantale, we define canonical extensions of quantale-enriched cat…