ScalingStacks

Definition 4.1. The globular category $\mathbb{G}_{n}$ consists of the full subcategory of $\gaunt_{n}$ consisting of the $i$-cells $C_{i}$ for $i\leq n$.

An $n$-globular set is a presheaf of sets on $\mathbb{G}_{n}$. The $k$-cells $X_{k}$ of a globular set is the set obtained by evaluating the presheaf $X$ on $C_{k}$.