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Dwyer-Kan homotopy theory of enriched categories (1201.1575v4)
Published 7 Jan 2012 in math.AT and math.CT
Abstract: 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 morphism objects and equivalences of ordinary categories when we take sets of connected components on morphism objects.
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