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Two lemmas on primary cohomology operations

Published online by Cambridge University Press:  24 October 2008

J. R. Hubbuck
J. R. Hubbuck
Affiliation:
University of Manchester
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Extract

Let X be a CW-complex with finite skeletons and with H*(X, Z) free of p-torsion, where p is some odd prime. We shall prove two theorems on the action of the Steenrod powers

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 3 , November 1970 , pp. 631 - 636
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Adams, J. F.On Chern characters and the structure of the unitary group. Proc. Cambridge Philos. Soc. 57 (1961), 189–199.CrossRefGoogle Scholar
(2)Adams, J. F.Vector fields on spheres. Ann. of Math. 75 (1962), 603–632.CrossRefGoogle Scholar
(3)Adams, J. F.On the groups J(X)–2. Topology 3 (1965), 137–172.CrossRefGoogle Scholar
(4)Adams, J. F. Generalised Cohomology, lecture 4. Category theory, homology theory and their applications. Lecture notes in mathematics (Springer-Verlag), 99 (1969), 77–112.Google Scholar
(5)Adams, J. F. and Atiyah, M. F.K-theory and the Hopf invariant. Quart. J. Math. Oxford Ser. 17 (1966), 31–38.CrossRefGoogle Scholar
(6)Ariyah, M. F.Power operations in K-theory. Quart. J. Math. Oxford Ser. 17 (1966), 165–193.Google Scholar
(7)Atiyah, M. F. and Hirzebruch, F.Vector bundles and homogeneous spaces. Proceedings of Symposia in Pure Mathematics 3, 7–38 (Amer. Math. Soc, 1961).CrossRefGoogle Scholar
(8)Hubbuck, J. R.Generalised cohomology operations and H-spaces of low rank. Amer. Math. Soc. 141 (1969), 335–360.Google Scholar
(9)Hubbuck, J. R. Primitivity in torsion-free cohomology Hopf algebras (under revision).Google Scholar
(10)Liulevicius, A.The factorisation of cyclic reduced powers by secondary cohomology operations. Memoirs Amer. Math. Soc. 42 (1962).Google Scholar
(11)Maunder, C. R. F.Chern characters and higher order cohomology operations. Proc. Cambridge Philos. Soc. 60 (1964), 751–764.CrossRefGoogle Scholar