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- W4289883553 abstract "We show that a profinite completion functor for (simplicial or topological) operads with good homotopical properties can be constructed as a left Quillen functor from an appropriate model category of ∞-operads to a certain model category of profinite ∞-operads. The construction is based on a notion of lean ∞-operad, and we characterize those ∞-operads weakly equivalent to lean ones in terms of homotopical finiteness properties. Several variants of the construction are also discussed, such as the cases of unital (or closed) ∞-operads and of ∞-categories." @default.
- W4289883553 created "2022-08-05" @default.
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- W4289883553 date "2022-10-01" @default.
- W4289883553 modified "2023-09-23" @default.
- W4289883553 title "Profinite ∞-operads" @default.
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- W4289883553 doi "https://doi.org/10.1016/j.aim.2022.108601" @default.
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