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The geometry of Coherent topoi and Ultrastructures (2211.03104v1)
Published 6 Nov 2022 in math.CT, math.GN, and math.LO
Abstract: We show that coherent topoi are right Kan injective with respect to flat embeddings of topoi. We recover the ultrastructure on their category of points as a consequence of this result. We speculate on possible notions of ultracategory in various arenas of formal model theory.
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