ScalingStacks

Example 3.1.7. Two important special cases are:

1. (1)

   A symmetric monoidal $\infty$-category $\mathcal{C}$ is an essentially $d$-operad if and only if the underlying $\infty$-category $\underline{\mathcal{C}}$ is an essentially $d$-category.

2. (2)

   A reduced $\infty$-operad $\mathcal{P}$ is an essentially $d$-operad if and only if the symmetric sequence $\left\{\mathcal{P}\left(n\right)\right\}_{n\geq 0}$ consists of $\left(d-1\right)$-truncated spaces.