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$$\infty $$-Operads via symmetric sequences

$$\infty $$-Operads via symmetric sequences

Abstract We construct a generalization of the Day convolution tensor product of presheaves that works for certain double $$\infty $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>∞</mml:mi> </mml:math> -categories. Using this construction, we obtain an $$\infty $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>∞</mml:mi> </mml:math> -categorical version of the well-known description of (one-object) operads as associative algebras in …