The $(\infty ,2)$-category of internal $(\infty ,1)$-categories

Raffael Stenzel

We define and study the $(\infty ,2)$-category ${\mathbf{Cat}}_{\infty }(\mathcal{C})$ of $(\infty ,1)$-categories internal to a general $(\infty ,1)$-category $\mathcal{C}$ via an assoc…