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Mar 19, 2021 at 17:21 comment added Bertram Arnold Maps in the derived category, i.e. replace $C'$ and $C$ by chain complexes of projective/injectives, shift the source by $p+q$ and take chain homotopy classes of chain maps.
Mar 19, 2021 at 14:39 comment added KKD Thanks for your detailed answer. At least interesting arguments! What is $\mathcal{D}(C'[p+q],C)$?
Mar 18, 2021 at 23:59 history answered Bertram Arnold CC BY-SA 4.0