Faithfulness of a functor of Quillen
classification
🧮 math.AT
math.CT
keywords
categoryfunctorhomotopycanonicalcertainconditionscylinderexists
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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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