%0 Journal Article
%T Mapping spaces in Quasi-categories
%A Daniel Dugger
%A David I. Spivak
%J Mathematics
%D 2009
%I arXiv
%R 10.2140/agt.2011.11.263
%X 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 [DS1], 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.
%U http://arxiv.org/abs/0911.0469v1