English

Cartesian factorization systems and pointed cartesian fibrations of $\infty$-categories

Algebraic Topology 2019-11-27 v1 Category Theory

Abstract

The goal of this paper is to prove an equivalence between the (,2)(\infty,2)-category of cartesian factorization systems of \infty-categories and that of pointed cartesian fibrations of \infty-categories. This generalizes a similar result known for ordinary categories and sheds some light on the interplay between these two seemingly distant concepts.

Keywords

Cite

@article{arxiv.1911.11533,
  title  = {Cartesian factorization systems and pointed cartesian fibrations of $\infty$-categories},
  author = {Edoardo Lanari},
  journal= {arXiv preprint arXiv:1911.11533},
  year   = {2019}
}
R2 v1 2026-06-23T12:27:39.655Z