## Change of base for enriched model categories

### Alexander Campbell – 14 February 2018

In this talk we review the change of base theorem for enriched model categories, which states that the change of base of a V-enriched model category along the right adjoint V --> W of a monoidal Quillen adjunction (whose left adjoint is strong monoidal) is a W-enriched model category. A novelty of our exposition is that we define an enriched category to be a category with extra structure, rather than as an independent structure from which an underlying category is derived. We draw on higher category theory for examples and counterexamples

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