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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 $ …
11
votes
1
answer
477
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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 …