On the nonexistence of elements of Hopf invariant one

Adams, J. F.

doi:10.1090/S0002-9904-1958-10225-6

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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On the nonexistence of elements of Hopf invariant one
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Bull. Amer. Math. Soc. 64 (1958), 279-282

References

José Adem, The iteration of the Steenrod squares in algebraic topology, Proc. Nat. Acad. Sci. U.S.A. 38 (1952), 720–726. MR 50278, DOI 10.1073/pnas.38.8.720
Henri Cartan, Sur l’itération des opérations de Steenrod, Comment. Math. Helv. 29 (1955), 40–58 (French). MR 68219, DOI 10.1007/BF02564270
Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
P. J. Hilton, An introduction to homotopy theory, Cambridge Tracts in Mathematics and Mathematical Physics, No. 43, Cambridge, at the University Press, 1953. MR 0056289, DOI 10.1017/CBO9780511666278
Norman Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J., 1951. MR 0039258, DOI 10.1515/9781400883875

Additional Information

Journal: Bull. Amer. Math. Soc. 64 (1958), 279-282
DOI: https://doi.org/10.1090/S0002-9904-1958-10225-6
MathSciNet review: 0097059