Cat as a localization of (oo,1)-categories

Edoardo Lanari – 21 March 2018

The material covered in this talk is joint work with Alexander Campbell. We prove that the folk (aka canonical) model structure on Cat is Quillen equivalent to various sorts of oo-categorical localizations of models for (oo,1)-categories, such as quasi-categories and complete Segal spaces, each time with respect to a single map.