Faithfulness of a functor of Quillen

Details Faithfulness of a functor of Quillen Faithfulness of a functor of Quillen

2009-10-06

arxiv.org/abs/0910.1038v1

Algebraic & Geometric Topology 10(1) (2010), pp. 525-530

Mathematics

Algebraic Topology

Scientific paper

10.2140/agt.2010.10.525

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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