ScalingStacks

Definition 7.1. Denote by $\Gap([n],{\mathcal{C}})$ the full subcategory of $\mathrm{Fun}(\mathrm{N}(\Ar[n]),{\mathcal{C}})$ spanned by the functors $\mathrm{N}(\Ar[n])\mathchoice{\longrightarrow}{\rightarrow}{\rightarrow}{\rightarrow}{\mathcal{C}}$ such that, for each $i\in I$, $F(i,i)$ is a zero object of ${\mathcal{C}}$, and for each $i<j<k$, the square

is cocartesian.