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On Whitehead products

Author: Kuo Tsai Chen
Journal: Proc. Amer. Math. Soc. 34 (1972), 257-259
MSC: Primary 55E15
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.

References [Enhancements On Off] (What's this?)

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  • [2] -, Algebras of iterated path integrals, Trans. Amer. Math. Soc. 156 (1971), 359-379. MR 0275312 (43:1069)
  • [3] H. Uehara and W. S. Massey, The Jacobi identity for Whitehead products, Algebraic Geometry and Topology (A Symposium in Honor of S. Lefschetz), Princeton Univ. Press, Princeton, N.J., 1957, pp. 361-377. MR 19, 974. MR 0091473 (19:974g)
  • [4] N. E. Steenrod, Cohomology invariants of mappings, Ann. of Math. (2) 50 (1949), 954-988. MR 11, 122. MR 0031231 (11:122a)

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Keywords: Whitehead product, cup product, Steenrod functional product, $ (n - 1)$-connected space
Article copyright: © Copyright 1972 American Mathematical Society

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