I am tempted to think that the projective objects in the chain category $\text{Ch}(\mathcal C)$ for $\mathcal C$ abelian are exactly the complexes $P_\bullet$ for which each $P_i$ is projective. Is this true? If not, what is a counterexample?
2026-03-29 13:22:09.1774790529
Projective objects of chain category
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