A short proof of the straightening theorem
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866917875567034368 |
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| author | Hebestreit, Fabian Heuts, Gijs Ruit, Jaco |
| author_facet | Hebestreit, Fabian Heuts, Gijs Ruit, Jaco |
| contents | We provide a short and reasonably self-contained proof of Lurie's straightening equivalence, relating cartesian fibrations over a given $\infty$-category $S$ with contravariant functors from $S$ to the $\infty$-category of small $\infty$-categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_00069 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A short proof of the straightening theorem Hebestreit, Fabian Heuts, Gijs Ruit, Jaco Category Theory Algebraic Topology 18N50, 18N60 We provide a short and reasonably self-contained proof of Lurie's straightening equivalence, relating cartesian fibrations over a given $\infty$-category $S$ with contravariant functors from $S$ to the $\infty$-category of small $\infty$-categories. |
| title | A short proof of the straightening theorem |
| topic | Category Theory Algebraic Topology 18N50, 18N60 |
| url | https://arxiv.org/abs/2111.00069 |