论文信息 - On duoidal $\infty$-categories

On duoidal $\infty$-categories

A duoidal category is a category equipped with two monoidal structures in which one is (op)lax monoidal with respect to the other. In this paper we introduce duoidal ∞-categories which are counterparts of duoidal categories in the setting of ∞-categories. There are three kinds of functors between duoidal ∞-categories, which are called bilax, double lax, and double oplax monoidal functors. We make three formulations of ∞-categories of duoidal ∞-categories according to which functors we take. Furthermore, corresponding to the three kinds of functors, we define bimonoids, double monoids, and double comonoids in duoidal ∞-categories.

Takeshi Torii | T. Torii

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