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The HELP-Lemma and its converse in Quillen model categories

We show that a map between fibrant objects in a closed model category is a weak equivalence if and only if it has the right homotopy extension lifting property with respect to all cofibrations. The dual statement holds for maps between cofibrant objects.

preprint2010arXivOpen access
R. M. Vogt
math.AT
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R. M. Vogt

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