Some properties of 𝐻-spaces of rank 2

McGibbon, C. A.

doi:10.1090/S0002-9939-1981-0589152-9

Some properties of $H$-spaces of rank $2$
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by C. A. McGibbon PDF

Proc. Amer. Math. Soc. 81 (1981), 121-124 Request permission

Abstract:

We study $H$-spaces with 3 cells. After one suspension the attaching map for the top cell is shown to have order at most 2. For such $H$-spaces localized away from 2, we obtain a new proof of a classification theorem due to Zabrodsky. We also show that under suitable restrictions in the 3 cell case, the vanishing of all Whitehead products implies the existence of a multiplication.

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