On Whitehead products
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- by Kuo Tsai Chen
- Proc. Amer. Math. Soc. 34 (1972), 257-259
- DOI: https://doi.org/10.1090/S0002-9939-1972-0298659-8
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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
- Kuo-tsai Chen, A sufficient condition for nonabelianness of fundamental groups of differentiable manifolds, Proc. Amer. Math. Soc. 26 (1970), 196–198. MR 279822, DOI 10.1090/S0002-9939-1970-0279822-7
- Kuo-tsai Chen, Algebras of iterated path integrals and fundamental groups, Trans. Amer. Math. Soc. 156 (1971), 359–379. MR 275312, DOI 10.1090/S0002-9947-1971-0275312-1
- Hiroshi Uehara and W. S. Massey, The Jacobi identity for Whitehead products, Algebraic geometry and topology. A symposium in honor of S. Lefschetz, Princeton University Press, Princeton, N.J., 1957, pp. 361–377. MR 0091473
- N. E. Steenrod, Cohomology invariants of mappings, Ann. of Math. (2) 50 (1949), 954–988. MR 31231, DOI 10.2307/1969589
Bibliographic Information
- © Copyright 1972 American Mathematical Society
- 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