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Apr 10, 2019 at 16:08 comment added Victor TC How about the category of unbounded chain complexes?; is it still true?
Sep 8, 2011 at 23:10 comment added Aaron Bergman This is an exercise in Gelfand-Manin, right? Section V.2, maybe?
Dec 2, 2009 at 16:56 comment added Leonid Positselski Weak equivalences may be quasi-isomorphisms, but what are fibrations and cofibrations, or at least the fibrant and cofibrant objects? Since this question does not seem to have a good answer in general, what you say is unlikely to be true.
Oct 12, 2009 at 20:10 comment added Kevin H. Lin I wasn't able to find it in Hovey's book. I'll try Hirschhorn's book, and Quillen's stuff. Thanks!
Oct 12, 2009 at 20:07 vote accept Kevin H. Lin
Oct 12, 2009 at 20:06 comment added Chris Schommer-Pries I think this can be found in the standard texts "Model Categories" by Mark Hovey or "Model Categories and Their Localizations" by Philip Hirschhorn. It is also probably in Quillen's original papers. I would look at Quillen's stuff first.
Oct 12, 2009 at 19:51 comment added Kevin H. Lin Do you know a reference for the general case?
Oct 12, 2009 at 19:46 history answered Chris Schommer-Pries CC BY-SA 2.5