A Kahn-Priddy sequence and a conjecture of G. W. Whitehead

DOI10.1017/S0305004100060175zbMath0515.55005OpenAlexW1968862072WikidataQ123183315 ScholiaQ123183315MaRDI QIDQ3662298

Nicholas J. Kuhn

Publication date: 1982

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100060175

zbMATH Keywords

sphere spectrumquadratic construction on a spacesymmetric product spectraepimorphism of the Kahn-Priddy theoremminimal resolution of the integral Eilenberg-MacLane spectrum by suspension spectraspectra localized at 2

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Eilenberg-Mac Lane spaces (55P20) Infinite loop spaces (55P47) Stable homotopy groups (55Q10)

Related Items (12)

The transfer and James-Hopf invariants ⋮ Filtered spectra arising from permutative categories ⋮ The rank filtration via a filtered bar construction ⋮ Higher chromatic Thom spectra via unstable homotopy theory ⋮ The Goodwillie tower for \(S^1\) and Kuhn's theorem ⋮ On the Hurewicz image of the Steinberg summand \(M(n)\) ⋮ Classification of problematic subgroups of $\boldsymbol {U(n)}$ ⋮ The Goodwillie tower and the EHP sequence ⋮ Symmetric products and subgroup lattices ⋮ Loop structures in Taylor towers ⋮ The Whitehead conjecture, the tower ofS¹conjecture, and Hecke algebras of type A ⋮ The modular Hecke algebra and Steinberg representation of finite Chevalley groups (with an appendix by Peter Landrock)

Cites Work

• Quasifaserungen und unendliche symmetrische Produkte
• A spectral sequence for the homology of an infinite delooping
• Applications of the transfer to stable homotopy theory

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