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arXiv · 0910.1038

Faithfulness of a functor of Quillen

William G. Dwyer·Andrei Radulescu-Banu·Sebastian Thomas
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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.

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William G. Dwyer, Andrei Radulescu-Banu, Sebastian Thomas. 2009-10-06. Faithfulness of a functor of Quillen. https://doi.org/10.2140/agt.2010.10.525

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