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1 vote

Recasting straightening/unstraightening equivalence as $(\infty, 2)$-adjunction

As suggested by Kevin Arlin, I am going to work out the $1$-categorical case below. Recall that there are $2$-functors $\mathrm{Fun}(-, \mathrm{Cat}) : \mathrm{CAT} \to \mathrm{CAT}^\mathrm{op}$ and $ …
Lorenzo Riva's user avatar
11 votes
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Recasting straightening/unstraightening equivalence as $(\infty, 2)$-adjunction

This is a vague set of questions that relies on (possibly non-existent) generalizations of low-dimensional results, mostly because I don't know many of the technical details underlying the constructio …