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Classification Diagrams of Marked Simplicial Sets
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classification
math.ATmath.CT
keywords
setscategoryclassificationequivalencesmarkedsimplicialbisimplicialcarries
abstract
We prove that the classification diagram functor from the category of marked simplicial sets to the category of bisimplicial sets carries cartesian equivalences to Rezk equivalences. As a corollary, we obtain Mazel-Gee's theorem on localizations of relative $\infty$-categories.
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