Monadicity of the Bousfield–Kuhn functor
Publication date
2019-01-08
Authors
Eldred, Rosona
Heuts, Gijs
Mathew, Akhil
Meier, Lennart
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Document Type
Article
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Abstract
Let M n f be the localization of the ∞-category of spaces at the v n -periodic equivalences, the case n = 0 being rational homotopy theory. We prove that M n f is for n ≥ 1 equivalent to algebras over a certain monad on the ∞-category of T (n)-local spectra. This monad is built from the Bousfield– Kuhn functor.
Keywords
Taverne, General Mathematics, Applied Mathematics
Citation
Eldred, R, Heuts, G, Mathew, A & Meier, L 2019, 'Monadicity of the Bousfield–Kuhn functor', Proceedings of the American Mathematical Society, vol. 147, no. 4, pp. 1789-1796. https://doi.org/10.1090/proc/14331