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Combinatorial $N_\infty$ operads

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arxiv 1705.03585 v3 pith:WS65JODC submitted 2017-05-10 math.AT

classification math.AT
keywords operadshomotopyinftytheoryaffirmativeassociativeblumbergcombinatorial
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abstract

We prove that the homotopy theory of $N_\infty$ operads is equivalent to a homotopy theory of discrete operads, and we construct free and associative operadic realizations of every indexing system. This resolves a conjecture of Blumberg and Hill in the affirmative.

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Cited by 1 Pith paper

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  1. Equivariant operads, symmetric sequences, and Boardman-Vogt tensor products

    math.CT 2025-01 conditional novelty 7.0 of 10

    It constructs monadic forgetful functors, a conservative genuine operadic nerve, a classification of weak N-infinity operads by weak indexing systems, and a closed Boardman-Vogt tensor product on G-operads.

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