ScalingStacks

Definition 5.2.1. For a pair of integers $m,k\geq-2$, we denote by $\mathcal{C}_{*}^{\left[k,m\right]}\subseteq\mathcal{C}_{*}$ the full subcategory spanned by objects which are simultaneously $(k-1)$-connected (ie $k$-connective) and $m$-truncated.