A short proof of the straightening theorem

Published 29 Oct 2021 in math.CT and math.AT | (2111.00069v2)

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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