2016/12/12 by Joost Nuiten, Nuiten, Joost
Mathematics · Medicine · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Intracranial Aneurysms: Treatment and Complications
paper · pdf · doi:10.48550/arxiv.1612.03800
Given an ∞-category with a set of weak equivalences which is stable under pullback, we show that the mapping spaces of the corresponding localization can be described as group completions of ∞-categories of spans. Furthermore, we show how these ∞-categories of spans are the mapping objects of an (∞, 2)-category, which yields a Segal space model for the localization after a Kan fibrant replacement.