Some properties of -spaces of rank

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 | References | Similar Articles | Additional Information

Abstract: We study -spaces with 3 cells. After one suspension the attaching map for the top cell is shown to have order at most 2. For such -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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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1981-0589152-9

Keywords:
-space,
localization,
Whitehead product

Article copyright:
© Copyright 1981
American Mathematical Society