Projectivity of the Whitehead square

Randall, Duane

doi:10.1090/S0002-9939-1973-0356047-0

Projectivity of the Whitehead square
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by Duane Randall

Proc. Amer. Math. Soc. 40 (1973), 609-611

DOI: https://doi.org/10.1090/S0002-9939-1973-0356047-0

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Abstract:

We show that the Whitehead square of the generator of ${\pi _n}({S^n})$ is not a projective homotopy class for any integer $n$ with neither $n$ or $n + 1$ being a power of 2.

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