The Hopf invariant and homotopy groups of spheres
Published online by Cambridge University Press: 24 October 2008
Extract
In (5), Whitehead introduced a generalization of the Hopfinvariant in the form of a homomorphism H: πr(Sn) → πr(S2n−1), valid† if r < 3n − 3. In (2), the author extended Whitehead's definition to cover the cases r ≤ 4n − 4; r = 5, n = 2; r = 13, n = 4. He also defined, without restriction, a homomorphism
which was related to H, whenever H was defined, by the equation H* = FH, F being the Freudenthal suspension
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 48 , Issue 4 , October 1952 , pp. 547 - 554
- Copyright
- Copyright © Cambridge Philosophical Society 1952
References
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