Abstract
There exists a canonical functor from the category of fibrant objects of a model category modulo cylinder homotopy to its homotopy category. We show that this functor is faithful under certain conditions, but not in general.
Citation
William G Dwyer. Andrei Rădulescu-Banu. Sebastian Thomas. "Faithfulness of a functor of Quillen." Algebr. Geom. Topol. 10 (1) 525 - 530, 2010. https://doi.org/10.2140/agt.2010.10.525
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