Dwyer-Kan homotopy theory of enriched categories
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 equivalen...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/43027 |
| Acceso en línea: | http://hdl.handle.net/11441/43027 https://doi.org/10.1112/jtopol/jtu029 |
| Access Level: | acceso abierto |
| Palabra clave: | enriched category model category |
| Sumario: | 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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