∞ -Operads via symmetric sequences
Peer reviewed, Journal article
Published version
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Date
2021Metadata
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- Institutt for matematiske fag [2351]
- Publikasjoner fra CRIStin - NTNU [37215]
Original version
10.1007/s00209-021-02881-wAbstract
We 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.