Dwyer-Kan homotopy theory of enriched categories
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2012
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| _version_ | 1866916344674385920 |
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| author | Muro, Fernando |
| author_facet | Muro, Fernando |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1201_1575 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Dwyer-Kan homotopy theory of enriched categories Muro, Fernando Algebraic Topology Category Theory 55U35, 18D20, 18C35 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. |
| title | Dwyer-Kan homotopy theory of enriched categories |
| topic | Algebraic Topology Category Theory 55U35, 18D20, 18C35 |
| url | https://arxiv.org/abs/1201.1575 |