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Jan 3, 2019 at 19:21 answer added Harry Gindi timeline score: 4
Jan 3, 2019 at 19:09 history edited David White CC BY-SA 4.0
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Jan 3, 2019 at 17:00 comment added Dylan Wilson A map of $\infty$-groupoids (i.e. Kan complexes) is a categorical equivalence if and only if it is a Kan equivalence, and the fibrant replacement map from $\mathcal{C}$ to its 'groupoidifcation' is a Kan equivalence so you learn that a functor is a Kan equivalence if and only if it induces a categorical equivalence after inverting all the arrows.
Jan 3, 2019 at 15:35 history asked Oscar P. CC BY-SA 4.0