Two results on the 2-local 𝐸𝐻𝑃 spectral sequence

Barratt, M. G.; Cohen, F.; Gray, B.; Mahowald, M.; Richter, W.

doi:10.1090/S0002-9939-1995-1246514-4

Two results on the $2$-local $EHP$ spectral sequence
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by M. G. Barratt, F. Cohen, B. Gray, M. Mahowald and W. Richter PDF

Proc. Amer. Math. Soc. 123 (1995), 1257-1261 Request permission

Abstract:

The ${E_2}$-term of the 2-local EHP spectral sequence is shown to be a $\mathbb {Z}/2$ module. 4 is the order of the identity map on the double loop space of the fiber $W(n)$ of the double suspension ${E^2}:{S^{2n - 1}} \to {\Omega ^2}{S^{2n + 1}}$.

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The H-space squaring map on

factors through the double suspension

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