$$\infty $$-Operads via symmetric sequences
AbstractWe construct a generalization of the Day convolution tensor product of presheaves that works for certain double $$\infty $$ ∞ -categories. Using this construction, we obtain an $$\infty $$ ∞ -categorical version of the well-known description of (one-object) operads as associative algebras in symmetric sequences; more generally, we show that (enriched) $$\infty $$ ∞ -operads with varying spaces of objects can be described as associative algebras in a double $$\infty $$ ∞ -category of symmetric collections.
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1975 ◽
Vol 27
(1)
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pp. 60-74
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2019 ◽
Vol 150
(1)
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pp. 367-385
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2015 ◽
Vol 58
(3)
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pp. 513-538
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2017 ◽
Vol E100.A
(11)
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pp. 2230-2237
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