Unstable compositions related to the image of $J$
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- by Mark Mahowald and Robert Thompson
- Proc. Amer. Math. Soc. 102 (1988), 431-436
- DOI: https://doi.org/10.1090/S0002-9939-1988-0921012-X
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Abstract:
We study elements in the homotopy groups of spheres which are desuspensions of generators of the image of the $J$-homomorphism for $p = 2$. ${J_*}({\mathbf {R}}{P^\infty })$ is used to detect the nontriviality of compositions and Toda brackets involving these elements. Some formulas are derived which show how various compositions of these elements are related to one another.References
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Bibliographic Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 102 (1988), 431-436
- MSC: Primary 55Q40,; Secondary 55Q50
- DOI: https://doi.org/10.1090/S0002-9939-1988-0921012-X
- MathSciNet review: 921012