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Jul 22, 2018 at 21:57 vote accept Pedro
Jul 18, 2018 at 8:29 comment added Karol Szumiło Right, I don't think there is an easier way. But I should add that you need to assume that objects $A$, $B$ and $D$ are cofibrant.
Jul 17, 2018 at 14:22 comment added Pedro Yes, the first construction you're mentioning is what I did for Q1 (although perhaps my wording is a bit unclear?). One only needs C1, C2 and C3. Thanks for the reference, by the way. I suppose then that the answer to "Is there a simpler way to proceed?" is "Well, this is the usual way to proceed anyways."
Jul 17, 2018 at 10:49 history answered Karol Szumiło CC BY-SA 4.0