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

Abstract

The goal of this paper is to prove an equivalence between the $(\infty ,2)$-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.