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Mar 3, 2015 at 17:28 comment added Zhen Lin Yes, it does seem to carry over.
Mar 3, 2015 at 14:20 vote accept Cepu
Mar 3, 2015 at 14:19 comment added Cepu Thanks! I have another question in mind. Assume that $\mathcal{D}$ is another small category, then consider the cartesian product $\times \: : \: sPsh(\mathcal{C})\times sPsh(\mathcal{D})\to sPsh(\mathcal{C}\times \mathcal{D})$. Then is it true that the product of two cofibrations is again a cofibration ? I think that your proof carry over this situation.
Feb 20, 2015 at 14:09 history answered Zhen Lin CC BY-SA 3.0