4.2 Article

Dwyer Kan homotopy theory of enriched categories

Journal

JOURNAL OF TOPOLOGY
Volume 8, Issue 2, Pages 377-413

Publisher

WILEY
DOI: 10.1112/jtopol/jtu029

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Funding

  1. Andalusian Ministry of Economy, Innovation and Science [FQM-5713]
  2. Spanish Ministry of Education and Science under the MEC-FEDER [MTM2010-15831, MTM2013-42178]
  3. Government of Catalonia [SGR-119-2009]

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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, that is, 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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