Path categories and quasi-categories
Category Theory
2019-09-19 v1 Algebraic Topology
Abstract
This paper gives an introduction to the homotopy theory of quasi-categories. Weak equivalences between quasi-categories are characterized as maps which induce equivalences on a naturally defined system of groupoids. These groupoids effectively replace higher homotopy groups in quasi-category homotopy theory.
Keywords
Cite
@article{arxiv.1909.08419,
title = {Path categories and quasi-categories},
author = {J. F. Jardine},
journal= {arXiv preprint arXiv:1909.08419},
year = {2019}
}
Comments
38 pages