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- W4285787400 abstract "Let $mathbb{E}_d$ denote the little discs operad for $1 le d le infty$ and let $mathcal{C}$ be an $infty$-category all of whose mapping spaces are $n$-truncated. We prove that when considering $mathbb{E}_d$-monoids in $mathcal{C}$, all coherence diagrams of arity $>n+3$ are redundant. More generally, for an $infty$-operad $mathcal{O}$ we bound the arity of the relevant coherence diagrams in terms of the connectivity of certain operadic partition complexes associated to $mathcal{O}$." @default.
- W4285787400 created "2022-07-19" @default.
- W4285787400 creator A5055022389 @default.
- W4285787400 date "2022-07-14" @default.
- W4285787400 modified "2023-09-25" @default.
- W4285787400 title "Arity Approximation of $infty$-Operads" @default.
- W4285787400 doi "https://doi.org/10.48550/arxiv.2207.07200" @default.
- W4285787400 hasPublicationYear "2022" @default.
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