Definition 13.37.5. Let $\mathcal{D}$ be a triangulated category with arbitrary direct sums. We say $\mathcal{D}$ is compactly generated if there exists a set $E_ i$, $i \in I$ of compact objects such that $\bigoplus E_ i$ generates $\mathcal{D}$.
Definition 13.37.5. Let $\mathcal{D}$ be a triangulated category with arbitrary direct sums. We say $\mathcal{D}$ is compactly generated if there exists a set $E_ i$, $i \in I$ of compact objects such that $\bigoplus E_ i$ generates $\mathcal{D}$.
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