Self-Maps of Loop Spaces. I

DOI10.2307/2000269zbMath0605.55006OpenAlexW4240917889MaRDI QIDQ3742331

H. E. A. Campbell, Franklin P. Peterson, P. S. Selick

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000269

zbMATH Keywords

stable homotopyKahn-Priddy theoremiterated loop spaces of spheresinfinite loop mapsp- local equivalence

Mathematics Subject Classification ID

Loop spaces (55P35) Infinite loop spaces (55P47) Stable homotopy groups (55Q10)

Related Items (9)

Adem relations in the Dyer-Lashof algebra and modular invariants ⋮ Indecomposability of \(QX\) ⋮ Dickson invariants and a new description of \(H^{*}(Q_{0}S^{0},{\mathbb{Z}}/p{\mathbb{Z}})\) via \(H^{*}(B\Sigma _{\infty }, {\mathbb{Z}} / p {\mathbb{Z}})\) ⋮ Atomicity for Anick's spaces ⋮ \(A\)-generators for ideals in the Dickson algebra ⋮ Self-Maps of Loop Spaces. II ⋮ Sheared algebra maps and operation bialgebras for mod 2 homology and cohomology ⋮ On the homology spectral sequence for topological Hochschild homology ⋮ Split dual Dyer-Lashof operations

Cites Work

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• A reformulation of the Arf invariant one mod p problem and applications to atomic spaces
• On the action of the Dyer-Lashof algebra in \(H*(G)\)
• Genus and cancellation
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• Algebraic cobordism and 𝐾-theory
• Spaces Associated with Stiefel Manifolds
• Self Maps of Loop Spaces of Spheres
• Rational Automorphisms of Grassmann Manifolds
• Endomorphisms of the Cohomology of Complex Grassmannians
• The transfer and stable homotopy theory
• THE STABLE HOMOTOPY OF COMPLEX PROJECTIVE SPACE

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