#### Volume 10, issue 1 (2010)

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Faithfulness of a functor of Quillen

### William G Dwyer, Andrei Rădulescu-Banu and Sebastian Thomas

Algebraic & Geometric Topology 10 (2010) 525–530
##### 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.

##### Keywords
model categories, fibrant objects, cofibrant objects, homotopy, faithful
##### Mathematical Subject Classification 2000
Primary: 18G55, 55U35