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arXiv · 2111.00069

A short proof of the straightening theorem

Fabian Hebestreit·Gijs Heuts·Jaco Ruit
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Abstract

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.

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Fabian Hebestreit, Gijs Heuts, Jaco Ruit. 2021-10-29. A short proof of the straightening theorem. https://arxiv.org/abs/2111.00069

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