On the homotopy theory of enriched categories (Q2851203)
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scientific article; zbMATH DE number 6214610
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the homotopy theory of enriched categories |
scientific article; zbMATH DE number 6214610 |
Statements
10 October 2013
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enriched category
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monoidal model category
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Dwyer-Kan equivalence
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On the homotopy theory of enriched categories (English)
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The authors give sufficient conditions for the existence of a Quillen model structure on small categories enriched in a given monoidal model category. Trivial fibrations in this model structure are local trivial fibrations which are surjective on objects, fibrant objects are locally fibrant ones and weak equivalences are Dwyer-Kan equivalences. This yields a unified treatment for the known cases and complements the result of Lurie giving another sufficient condition.
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