Mapping spaces in Quasi-categories
Algebraic Topology
2014-10-01 v1 Category Theory
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 [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.
Keywords
Cite
@article{arxiv.0911.0469,
title = {Mapping spaces in Quasi-categories},
author = {Daniel Dugger and David I. Spivak},
journal= {arXiv preprint arXiv:0911.0469},
year = {2014}
}