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Homology operations and power series

Published online by Cambridge University Press:  18 May 2009

Richard Steiner
Richard Steiner
Affiliation:
Department of Mathematics University of Glasgow, Glasgow G12 8QW
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Bullett and Macdonald [1] have used power series to simplify the statement and proof of the Adem relations for Steenrod cohomology operations. In this paper I give a similar treatment of May's generalized Adem relations [4, §4] and of the Nishida relations ([6], [2, 1.1.1(9)], [5, 3.1(7)]). Both sets of relations apply to Dyer-Lashof operations in E∞, spaces such as infinite loop spaces ([3], [2, I.I]) and in H^ ring spectra ([5, §3]).

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 24 , Issue 2 , July 1983, pp. 161 - 168
Copyright
Copyright © Glasgow Mathematical Journal Trust 1983

References

REFERENCES

1.Bullett, S. R. and Macdonald, I. G., On the Adem relations, Topology 21 (1982), 329–332.Google Scholar
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