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Homotopy nilpotency in p-regular loop spaces

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Abstract

We consider the problem how far from being homotopy commutative is a loop space having the homotopy type of the p-completion of a product of finite numbers of spheres. We determine the homotopy nilpotency of those loop spaces as an answer to this problem.

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Correspondence to Shizuo Kaji.

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Kaji, S., Kishimoto, D. Homotopy nilpotency in p-regular loop spaces. Math. Z. 264, 209–224 (2010). https://doi.org/10.1007/s00209-008-0459-6

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