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arXiv · 2301.06165

Operads for Symmetric Monoidal Categories

A. D. Elmendorf
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Abstract

This paper gives an explicit description of the categorical operad whose algebras are precisely symmetric monoidal categories. This allows us to place the operad in a sequence of four, and therefore a sequence of four successively stricter concepts of symmetric monoidal category. A companion paper will use this operadic presentation to describe a vast array of underlying multicategories for a symmetric monoidal category.

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A. D. Elmendorf. 2023-01-15. Operads for Symmetric Monoidal Categories. https://arxiv.org/abs/2301.06165

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