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A note on the P-homomorphism in homotopy groups of spheres

Published online by Cambridge University Press:  24 October 2008

P. J. Hilton
P. J. Hilton
Affiliation:
Pembroke CollegeCambridge
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Extract

The homomorphism of the title is a homomorphism of πr(Sn) into πr+n−1(Sn) given by

where ι generates πn(Sn). Various results on the P-homomorphism were proved in (4); in particular it was shown that, if ηn generates πn+1(Sn), n ≥ 2, then

Type
Research Notes
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 51 , Issue 1 , January 1955 , pp. 230 - 233
Copyright
Copyright © Cambridge Philosophical Society 1955

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References

REFERENCES

(1)Barratt, M. G. and Hilton, P. J.On join operations in homotopy groups. Proc. Lond. math. Soc. (3), 3 (1953), 430–45.CrossRefGoogle Scholar
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