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Limits of stable homotopy and cohomotopy groups

Published online by Cambridge University Press:  24 October 2008

J. D. S. Jones  and
S. A. Wegmann
J. D. S. Jones
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL
S. A. Wegmann
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL
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Extract

In this paper we formulate and prove generalizations of a theorem of Lin [7]. Let X be a CW complex with base point x0. Define a free involution T on S∞×(X Λ X) by T (w, xΛy) = (−w, yΛx). The quadratic construction on X is the complex

This construction can be applied to spectra. A complete and thorough account will appear in the work on equivariant stable homotopy theory in preparation by L. G. Lewis, J. P. May, J. McLure and M. Steinberger. Some of the results are announced in [8].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 94 , Issue 3 , November 1983 , pp. 473 - 482
Copyright
Copyright © Cambridge Philosophical Society 1983

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References

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