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arxiv: 1308.4940 · v4 · pith:ZPOLJLDTnew · submitted 2013-08-22 · 🧮 math.CT · math.AT

Day convolution for infinity-categories

classification 🧮 math.CT math.AT
keywords convolutionmonoidalfunctorinfinity-categoriessymmetricanalogcategorydefine
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Given symmetric monoidal infinity-categories C and D, subject to mild hypotheses on D, we define an infinity-categorical analog of the Day convolution symmetric monoidal structure on the functor category Fun(C, D). An E_infinity monoid for the Day convolution product is a lax monoidal functor from C to D.

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