Limits of stable homotopy and cohomotopy groups

1983 ◽  
Vol 94 (3) ◽  
pp. 473-482 ◽  
Author(s):  
J. D. S. Jones ◽  
S. A. Wegmann
Keyword(s):  
Homotopy Theory ◽  
Base Point ◽  
Stable Homotopy ◽  
Stable Homotopy Theory ◽  
Free Involution ◽  
Image Position ◽  
Equivariant Stable Homotopy

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 complexThis 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].

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