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arXiv · 2602.17347

Flat functors in the context of fibration categories

El Mehdi Cherradi
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Abstract

We investigate the connection between left exact $\infty$-functors between finitely complete quasicategories and exact functors between fibration categories, describing a procedure to approximate flat $\infty$-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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El Mehdi Cherradi. 2026-02-19. Flat functors in the context of fibration categories. https://arxiv.org/abs/2602.17347

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