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Sep 19, 2023 at 13:21 comment added Arun Debray Since you mentioned that the topological case has been reduced to the discrete case, does Carrasco-Cegarra-Garzón, "Nerves and classifying spaces for bicategories" help? They prove that many different notions of classifying spaces of (discrete) bicategories are homotopy equivalent, including the geometric realization of the Duskin nerve.
Sep 18, 2023 at 11:32 history edited YCor CC BY-SA 4.0
removed capitals from title
Sep 18, 2023 at 11:30 history asked Ulrich Pennig CC BY-SA 4.0