Holmstrom Ken Brown's lemma

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Let F:CDF: C \to D be a functor from a model category to a category DD with a class of WEs satisfying (2-out-of-3). Suppose FF takes trivial cofibrations between cofibrant objects to WEs. Then FF takes all WEs between cofibrant objects to WEs. Also dual statement.

nLab page on Ken Brown's lemma

Created on June 9, 2014 at 21:16:13 by Andreas Holmström