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arXiv · 1201.2134

On the homotopy theory of enriched categories

Clemens Berger·Ieke Moerdijk
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Abstract

We give sufficient conditions for the existence of a Quillen model structure on small categories enriched in a given monoidal model category. This yields a unified treatment for the known model structures on simplicial, topological, dg- and spectral categories. Our proof is mainly based on a fundamental property of cofibrant enriched categories on two objects, stated below as the Interval Cofibrancy Theorem.

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Clemens Berger, Ieke Moerdijk. 2012-01-10. On the homotopy theory of enriched categories. https://doi.org/10.1093/qmath/hat023

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