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For questions about the derived categories of various abelian categories and questions regarding the derived category construction itself.
4
votes
Is the unbounded derived $\infty$-category of a general abelian category stable?
If $A$ is small, it might be better to consider $D^b(A)$, the derived bounded category, which is also small. In this case, more is known: Corollary 7.4.12 of https://arxiv.org/pdf/1911.02338 proves th …