Demonstrates the structure of the Day convolution operad in monoidal categories, implying new algebraic insights.
We prove that Hinich's construction of the Day convolution operad of two ‐monoidal ‐categories is an exponential in the ‐category of ‐operads over , and use this to give an explicit description of the formation of algebras in the Day convolution operad as a bivariant functor.
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Christoph Winges (2026) studied this question.
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