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Some Additive Cohomology Operations which are not Suspensions

Published online by Cambridge University Press:  24 October 2008

William Browder
William Browder
Affiliation:
Cornell University and Mathematical InstituteOxford
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Extract

If X is a space with base point, let ΩX denote the space of loops of X based at its base point. We will denote the homology and cohomology suspensions by σ* and σ*, respectively, , . Let K(π, n) be the Eilenberg-MacLane complex with only one non-vanishing homotopy group πn(K(π, n))= π, πi(K(π, n)) = 0 for i ≠ n. If π is abelian K(π, n) = ΩK(π, n+1). We will assume that π is a finitely generated abelian group throughout this note. Let K(π, n) × K(π, n) → K(π, n) denote the multiplication in K(π, n).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 1 , January 1961 , pp. 50 - 54
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

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