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Rectification of enriched ∞–categories

Rectification of enriched ∞–categories

We prove a rectification theorem for enriched ∞-categories: If V is a nice monoidal model category, we show that the homotopy theory of ∞-categories enriched in V is equivalent to the familiar homotopy theory of categories strictly enriched in V.It follows, for example, that ∞-categories enriched in spectra or chain …