Flat functors in the context of fibration categories
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908840716402688 |
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| author | Cherradi, El Mehdi |
| author_facet | Cherradi, El Mehdi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17347 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Flat functors in the context of fibration categories Cherradi, El Mehdi Category Theory Algebraic Topology 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. |
| title | Flat functors in the context of fibration categories |
| topic | Category Theory Algebraic Topology |
| url | https://arxiv.org/abs/2602.17347 |