Dwyer-Kan homotopy theory of enriched categories
Algebraic Topology
2024-08-06 v4 Category Theory
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.
Keywords
Cite
@article{arxiv.1201.1575,
title = {Dwyer-Kan homotopy theory of enriched categories},
author = {Fernando Muro},
journal= {arXiv preprint arXiv:1201.1575},
year = {2024}
}
Comments
39 pages, corrected version