Homotopy nilpotency and associativity

Copeland, Arthur H.; Shar, Albert O.

doi:10.1090/S0002-9939-1980-0581011-X

Homotopy nilpotency and associativity
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by Arthur H. Copeland and Albert O. Shar PDF

Proc. Amer. Math. Soc. 80 (1980), 487-490 Request permission

Abstract:

If $(Y,\mu )$ is an H-space then a measure of nonassociativity, called Homotopy Nuclear Nilpotency (HNN) is defined. We then calculate the HNN of thirteen H-spaces: the twelve classes of multiplications on ${S^3}$ and the one class on $S_{(2’)}^5$, the 5-sphere localized away from 2.

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