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Some properties of $ H$-spaces of rank $ 2$

Author: C. A. McGibbon
Journal: Proc. Amer. Math. Soc. 81 (1981), 121-124
MSC: Primary 55P45; Secondary 55Q15
MathSciNet review: 589152
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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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Keywords: $ H$-space, localization, Whitehead product
Article copyright: © Copyright 1981 American Mathematical Society