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Nov 24 at 9:44 comment added Jeremy Rickard It's not true in general that $F$ preserves quasi-isomorphisms between unbounded complexes of objects acyclic for $F$, or even between unbounded complexes of injectives.
Oct 25, 2012 at 18:12 comment added LMN Great, since there hasn't been any suggestion so far the answer is probably "no".
Oct 2, 2012 at 23:18 history edited LMN CC BY-SA 3.0
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Oct 2, 2012 at 23:06 history edited LMN CC BY-SA 3.0
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Oct 2, 2012 at 23:03 comment added LMN @Fernando: Corrected.
Oct 2, 2012 at 22:58 history edited LMN CC BY-SA 3.0
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Oct 2, 2012 at 22:23 comment added Fernando Muro Your question is unclear at some points, e.g. what are your complexes made of? what's the source/target of $F$? ...
Oct 2, 2012 at 21:55 history asked LMN CC BY-SA 3.0