On the p-regularity of Stiefel manifolds

DOI10.2977/prims/1195173349zbMath0696.55015OpenAlexW2060201192MaRDI QIDQ910758

Atsushi Yamaguchi

Publication date: 1989

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195173349

zbMATH Keywords

sphereslocalizationStiefel manifoldsp-regularJ-homomorphismstable retract theorem

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Dyer-Lashof operations (55S12) (J)-morphism (55Q50)

Related Items (2)

Homotopy type and \(v_1\)-periodic homotopy groups of \(p\)-compact groups ⋮ The homotopy types of \(Sp(3)\)-gauge groups

Cites Work

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• On the non-existence of elements of Hopf invariant one
• Some non-stable homotopy groups of Lie groups
• Some calculations in the unstable Adams-Novikov spectral sequence
• Periodic phenomena in the Adams-Novikov spectral sequence
• Mod p H-spaces and p-regularities
• Unstable homotopy from the stable point of view
• The geometry of iterated loop spaces
• The Adams-Novikov spectral sequence for the spheres
• Groupes d'homotopie et classes de groupes abéliens
• Spaces Associated with Stiefel Manifolds
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Cohomology operations in iterated loop spaces
• The metastable homotopy of 𝑆ⁿ
• Some Calculations of Homotopy Groups of Symmetric Spaces
• Homology of Iterated Loop Spaces
• A generalization of the Hopf invariant

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