Model ∞\infty-categories II: Quillen adjunctions

preprint2015arXivOpen access

Abstract

We prove that various structures on model ∞\infty-categories descend to corresponding structures on their localizations: (i) Quillen adjunctions; (ii) two-variable Quillen adjunctions; (iii) monoidal and symmetric monoidal model structures; and (iv) enriched model structures.

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