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arXiv · 1707.05986

Monadicity of the Bousfield-Kuhn functor

Rosona Eldred·Gijs Heuts·Akhil Mathew·Lennart Meier
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Abstract

We consider the localization of the $\infty$-category of spaces at the $v_n$-periodic equivalences, the case $n=0$ being rational homotopy theory. We prove that this localization is for $n\geq 1$ equivalent to algebras over a certain monad on the $\infty$-category of $T(n)$-local spectra. This monad is built from the Bousfield--Kuhn functor.

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Rosona Eldred, Gijs Heuts, Akhil Mathew, Lennart Meier. 2017-07-19. Monadicity of the Bousfield-Kuhn functor. https://arxiv.org/abs/1707.05986

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