Dwyer-Kan homotopy theory of enriched categories

Details Dwyer-Kan homotopy theory of enriched categories Dwyer-Kan homotopy theory of enriched categories

2012-01-07

arxiv.org/abs/1201.1575v2

Mathematics

Algebraic Topology

There's a mistake in page 11, line 4, where I say that r' is a trivial cofibration. It is just a cofibration, so the argument

Scientific paper

We construct a model structure on the category of small categories enriched over a combinatorial closed symmetric monoidal model category satisfying the monoid axiom. Weak equivalences are Dwyer-Kan equivalences, i.e. enriched functors which induce weak equivalences on morphisms and equivalences of ordinary categories when we take sets of connected components on morphism objects.

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