Year: 2011
Type: article
Abstract: We apply the Dwyer-Kan theory of homotopy function complexes in model categories to the study of mapping spaces in quasi-categories.Using this, together with our work on rigidification from [8], we give a streamlined proof of the Quillen equivalence between quasi-categories and simplicial categories.Some useful material about relative mapping spaces in quasi-categories is developed along the way.
Source: Algebraic & Geometric Topology
Authors: Daniel Dugger, David I Spivak
Institutions: University of Oregon, Massachusetts Institute of Technology
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2093220753