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Proceedings of the American Mathematical Society

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On Whitehead products


Author: Kuo Tsai Chen
Journal: Proc. Amer. Math. Soc. 34 (1972), 257-259
MSC: Primary 55E15
DOI: https://doi.org/10.1090/S0002-9939-1972-0298659-8
MathSciNet review: 0298659
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Abstract: For every $ (n - 1)$-connected space X, the image of the Whitehead product map $ {\pi _n}(X) \times {\pi _n}(X) \to {\pi _{2n - 1}}(X)$ is estimated in terms of the nth and the 2nth Betti numbers.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0298659-8
Keywords: Whitehead product, cup product, Steenrod functional product, $ (n - 1)$-connected space
Article copyright: © Copyright 1972 American Mathematical Society

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