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An adjunction between a category of complete restriction monoids and a category of étale categories

Published 9 Mar 2023 in math.CT | (2303.05188v1)

Abstract: We prove that there is an adjunction between what we call \'etale topological categories and restriction quantal frames that leads to an adjunction with a category of complete restriction monoids. This generalizes the adjunction between \'etale groupoids and pseudogroups.

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