The homotopy bicategory of (∞, 1)-categories

Abstract

Evidence is given for the correctness of the Joyal-Riehl-Verity construction of the homotopy bicategory of the (∞, 2)-category of (∞, 1)-categories; in particular, it is shown that the analogous construction using complete Segal spaces instead of quasicategories yields a bicategorically equivalent 2-category.

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