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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Two results on the $ 2$-local $ EHP$ spectral sequence


Authors: M. G. Barratt, F. Cohen, B. Gray, M. Mahowald and W. Richter
Journal: Proc. Amer. Math. Soc. 123 (1995), 1257-1261
MSC: Primary 55Q40; Secondary 55Q15, 55Q25
MathSciNet review: 1246514
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1246514-4
PII: S 0002-9939(1995)1246514-4
Keywords: Exponents, EHP fibrations and spectral sequence, $ W(n)$, coliftings
Article copyright: © Copyright 1995 American Mathematical Society