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Even Whitehead Squares are Not Projective

Published online by Cambridge University Press:  20 November 2018

R. James Milgram  and
Peter Zvengrowski
R. James Milgram
Affiliation:
Stanford University, Stanford, California
Peter Zvengrowski
Affiliation:
University of Calgary, Calgary, Alberta
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The projectivity of the Whitehead square wn = [in, in] in π2n-1(SN) has been studied by Randall [6] who proved that if wn is projective then n must be a power of 2 or one less than a power of 2. Here we solve the question in the even case, proving by means of bo homology:

Theorem. if and only if n = 1, 2, 4.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 5 , 01 October 1977 , pp. 957 - 962
Copyright
Copyright © Canadian Mathematical Society 1977

References

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