ScalingStacks

Remark 2.7. The weight complex functor also exists and admits an explicit construction if $\mathcal{C}$ admits an enhancement as an $f$-category, see [Bon10] and [Sch11c], or as a differential graded category, see [Bon09]. Moreover it also exists if $\mathcal{C}$ admits an enhancement as a stable derivator using the fact that stable derivators yield $f$-categories, see [Mod19].