2019/11/26 by Edoardo Lanari, Lanari, Edoardo
Mathematics · #18G30 #18G55 #55U10 #55U35 #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.1911.11533
openalex publication_date 2019/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The goal of this paper is to prove an equivalence between the (∞,2)-category of cartesian factorization systems of ∞-categories and that of pointed cartesian fibrations of ∞-categories. This generalizes a similar result known for ordinary categories and sheds some light on the interplay between these two seemingly distant concepts.