Thick simplices and quasi-categories
Category Theory
2013-10-10 v3
Abstract
Thick simplices are the nerves of the contractible groupoids obtained by inverting the arrows in the categories [n]. Using explicit expansions of simplicial subsets of the thick simplices, we present a new approach to results of Rezk and of Joyal and Tierney on quasi-categories and their associated Kan complexes of quasi-invertible morphisms.
Cite
@article{arxiv.1307.6924,
title = {Thick simplices and quasi-categories},
author = {Ezra Getzler},
journal= {arXiv preprint arXiv:1307.6924},
year = {2013}
}
Comments
10 pages; dedicated to Andr\'e Joyal on the occasion of his 70th birthday; proofs of main results on quasicategories in last section are simplified