ScalingStacks

Definition 4.26. Let ${\mathcal{A}}$ and ${\mathcal{B}}$ be small idempotent-complete stable $\infty$-categories. We write $\mathrm{rep}({\mathcal{B}},{\mathcal{A}})=\Upsilon(\mathrm{Fun}^{\ex}({\mathcal{B}},{\mathcal{A}}))$ for the small pretriangulated spectral category associated to the small stable $\infty$-category of exact functors from ${\mathcal{B}}$ to ${\mathcal{A}}$.