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A homotopy theory of coherently commutative monoidal quasi-categories

Published 14 Aug 2019 in math.CT and math.AT | (1908.05668v3)

Abstract: The main objective of this paper is to construct a symmetric monoidal closed model category of coherently commutative monoidal quasi-categories. We construct another model category structure whose fibrant objects are (essentially) those coCartesian fibrations which represent objects that are known as symmetric monoidal quasi-categories in the literature. We go on to establish a Quillen equivalence between the two model categories.

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