James Maps, Segal Maps, and the Kahn-Priddy Theorem

DOI10.2307/1999533zbMath0549.55005OpenAlexW4245036059MaRDI QIDQ3341537

J. Caruso, Frederick R. Cohen, J. Peter May, Laurence R. Taylor

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999533

zbMATH Keywords

stable splittingsiterated loop spaces2-primary exponent of homotopy groups of a sphereSegal mapsunstable version of the Kahn-Priddy theorem

Mathematics Subject Classification ID

Loop spaces (55P35) Suspensions (55P40) Stable homotopy of spheres (55Q45)

Related Items (9)

Orientation data for moduli spaces of coherent sheaves over Calabi-Yau 3-folds ⋮ Orientability of moduli spaces of \(\mathrm{Spin}(7)\)-instantons and coherent sheaves on Calabi-Yau 4-folds ⋮ Topological \(K\)-theory with coefficients and the \(e\)-invariant ⋮ Polynomial operations on stable cohomotopy ⋮ Bordism groups of immersions and classes represented by self-intersections ⋮ The $L_2$-localization of $W(n)$ ⋮ Orientations for DT invariants on quasi-projective Calabi-Yau 4-folds ⋮ Some comments on motivic nilpotence ⋮ Operations in \(A\)-theory

Cites Work

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• Ring spectra which are Thom complexes
• K(Z,0) and K(\(Z_ 2,\)0) as Thom spectra
• \(\Gamma^+\)-structures. I: A free group functor for stable homotopy theory
• The homology of iterated loop spaces
• Self-intersections and higher Hopf invariants
• The geometry of the James-Hopf maps
• Homotopy invariant algebraic structures on topological spaces
• Configuration-spaces and iterated loop-spaces
• Reduced product spaces
• On Spaces Having the Homotopy Type of a CW-Complex
• Splitting of some more spaces
• Localized stable homotopy of some classifying spaces
• The transfer and stable homotopy theory
• Splitting of certain spaces CX
• When is the Natural Map X →ΩΣX a Cofibration?
• A Stable Decomposition of ω ^N Sⁿ X

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