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math.CT2023
Categories of sets with infinite addition
Pablo Andrés-Martínez, Chris Heunen
We consider sets with infinite addition, called -monoids, and contribute to their literature in three ways. First, our definition subsumes those from previous works and allows u…
math.CT2023
Ordered Locales
Chris Heunen, Nesta van der Schaaf
We extend the Stone duality between topological spaces and locales to include order: there is an adjunction between the category of preordered topological spaces satisfying the so-…