Flat functors in the context of fibration categories
Category Theory
2026-02-20 v1 Algebraic Topology
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.
Cite
@article{arxiv.2602.17347,
title = {Flat functors in the context of fibration categories},
author = {El Mehdi Cherradi},
journal= {arXiv preprint arXiv:2602.17347},
year = {2026}
}
Comments
41 pages, this document originated from Section 4 of a previous article (arXiv:2509.03371) after corrections and expansions