Consequences of the kahn–priddy theorem in homotopy and geometry

DOI10.1112/S0025579300015369zbMath0437.57015OpenAlexW2089416536MaRDI QIDQ3878418

A. J. Berrick

Publication date: 1981

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300015369

zbMATH Keywords

projective spacesKahn-Priddy theoremSmale invariantprojective homotopy groups of spheres

Mathematics Subject Classification ID

Embeddings in differential topology (57R40) Immersions in differential topology (57R42) Homotopy groups of spheres (55Q40)

Cites Work

• Unnamed Item
• The classification of immersions of spheres in Euclidean spaces
• On Hopf invariants
• Immersing projective spaces
• On the Normal Bundle of a Sphere Imbedded in Euclidean Space
• The Smale invariants of an immersed projective space
• Vector-Bundle Monomorphisms with Finite Singularities
• Axial Maps with Further Structure
• An Application of the Kahn-Priddy Theorem
• Non-singular bilinear maps and stable homotopy classes of spheres
• Bilinear Forms, I
• Induction on Symmetric Axial Maps and Embeddings of Projective Spaces
• Elements in the Stable Homotopy Groups of Spheres which are not Bilinearly Representable
• Some homotopy groups of Stiefel manifolds

This page was built for publication: Consequences of the kahn–priddy theorem in homotopy and geometry