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On the relation of complex cobordism to connective K-theory

Published online by Cambridge University Press:  24 October 2008

David Copeland Johnson  and
Larry Smith
David Copeland Johnson
Affiliation:
University of Kentucky and University of Virginia
Larry Smith
Affiliation:
University of Kentucky and University of Virginia
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Extract

The objective of this note is to complete in one essential way the study undertaken in (2) of the relation between complex bordism and the connective k-homology theory. Specifically, let us denote by MU*( ) the generalized homology theory associated to the Thorn spectrum MU(6), and by k*( ) the generalized homology theory associated to the connective bu spectrum (2, 4). Recall that

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 70 , Issue 1 , July 1971 , pp. 19 - 22
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

REFERENCES

(1)Cartan, H. and Eilenberg, S.Homological algebra (Princeton University Press, 1956).Google Scholar
(2)Conner, P. E. and Smith, L.On the complex bordism of finite complexes. Inst. Hautes Études Sci. Publ. Math. 37 (1969), 117–221.CrossRefGoogle Scholar
(3)Hattori, A.Integral characteristic numbers for almost complex manifolds. Topology 5 (1966), 529–580.CrossRefGoogle Scholar
(4)Johnson, D. C. Thesis, University of Virginia (1970).Google Scholar
(5)Smith, L.On the relation of connective κ-theory to homology. Proc. Cambridge Philos. Soc. 68 (1970), 637–640.CrossRefGoogle Scholar
(6)Stong, R. E.Notes on cobordism theory (Princeton University Press, 1969).CrossRefGoogle Scholar
(7)Whitehead, G. W.Generalized homology theories. Trans. Amer. Math. Soc. 102 (1962), 227–283.CrossRefGoogle Scholar