ScalingStacks

Definition 4.4. A simplicial category ${\mathcal{A}}$ is stable if the simplicial nerve of a fibrant replacement of ${\mathcal{A}}$ is a stable $\infty$-category. A spectral category ${\mathcal{A}}$ is stable if its underlying simplicial category $\Omega^{\infty}{\mathcal{A}}$ is stable.