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Jan 15, 2015 at 18:09 comment added Dmitri Pavlov I certainly agree that it's not difficult to prove, but I would like to avoid writing up something that seems to be so classical.
Jan 15, 2015 at 17:37 history edited Leo Alonso CC BY-SA 3.0
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Jan 15, 2015 at 17:04 comment added Leo Alonso Strictly speaking, I don't know. However the fact that it is functorial and gives a complex quasi-isomorphic to the true colimit gives a hint in this direction. In any case, it should not be difficult to prove it.
Jan 15, 2015 at 16:49 comment added Dmitri Pavlov How do you know that the construction that you describe in your paper has the universal property required of homotopy colimits?
Jan 15, 2015 at 16:42 history answered Leo Alonso CC BY-SA 3.0