The homology of the James-Hopf maps

zbMath0532.55021MaRDI QIDQ789059

Nicholas J. Kuhn

Publication date: 1983

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

homology operationsKahn-Priddy theoremNon-desuspensionstable decomposition of the n-fold loop space of an n-fold suspensionWhitehead's conjecture for the symmetric product spectra

Mathematics Subject Classification ID

Loop spaces (55P35) Infinite loop spaces (55P47) Dyer-Lashof operations (55S12) Hopf invariants (55Q25) Suspensions (55P40)

Related Items (7)

The Whitehead conjecture and splitting 𝐵(𝐙/2)^{𝐤} ⋮ The transfer and James-Hopf invariants ⋮ Bordism of self-intersection manifolds of certain codimension one immersions ⋮ Spherical classes in some finite loop spaces of spheres ⋮ Cospherical classes in some iterated loop spaces on spheres ⋮ On the odd primary homology of free algebras over the spectral Lie operad ⋮ Spherical classes in \(H_*(\omega ^ls^{l+n};{\mathbb{Z}}/2)\) for \(4\leqslant l \leqslant 8\)

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