Flat functors in the context of fibration categories
Abstract
We investigate the connection between left exact ∞-functors between finitely complete quasicategories and exact functors between fibration categories, describing a procedure to approximate flat ∞-functors of the former type by exact functors of the latter type. As an application, we recover a proof of the DK-equivalence between the relative category of fibration categories and that of finitely complete quasicategories.
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