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Homotopy Equivalent Algebraic Structures in Multicategories and Permutative Categories

Published 28 Feb 2022 in math.AT, math.CT, and math.KT | (2202.13659v4)

Abstract: We show that the free construction from multicategories to permutative categories is a categorically-enriched non-symmetric multifunctor. Our main result then shows that the induced functor between categories of algebras is an equivalence of homotopy theories. We describe an application to ring categories.

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