2019/09/18 by John F. Jardine, Jardine, J. F.
Mathematics · #18G55 #55U10 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1909.08419
openalex publication_date 2019/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.