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Operations on K-theory of torsion-free spaces

Published online by Cambridge University Press:  24 October 2008

J. F. Adams  and
P. Hoffman
J. F. Adams
Affiliation:
University of Cambridge, and University of Watreloo, Ontario
P. Hoffman
Affiliation:
University of Cambridge, and University of Watreloo, Ontario
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Extract

The object of this paper is to study stable operations on the K-cohomology of torsion-free spaces and spectra. Such a study was begun by Novikov ((4), § 8). We hope the present work may among other things serve to clarify some of the obscure points in this part of his work.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 79 , Issue 3 , May 1976 , pp. 483 - 491
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

REFERENCES

(1)Adams, J. F. Lectures on generalised cohomology. In Category Theory, Homology Theory and Their Applications, III (Lecture Notes in Mathematics no. 99, Springer, 1969).Google Scholar
(2)Adams, J. F.Stable Homotopy and Generalised Homology, part II (Chicago University Press, 1974).Google Scholar
(3)Adams, J. F., Harris, A. S. and Switzer, R. M.Hopf algebras of cooperations for real and complex K-theory. Proc. London Math. Soc. 23 (1971), 385–408.CrossRefGoogle Scholar
(4)Novikov, S. P.The methods of algebraic topology from the view-point of cobordism theories. Izv. Akad. Nauk SSSR, Serija Matematiceskaja, 31 (1967), 885–951.Google Scholar