Australian Category Seminar

Change of base for enriched model categories

Alexander Campbell·14 Feburary 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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