Framing sphere bundles over spheres, the Smith pairing, and three-fold Toda brackets

DOI10.1007/BF01168152zbMath0568.55013MaRDI QIDQ1060462

George Al-Sabti

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173593

zbMATH Keywords

J-homomorphismframings on sphere bundles over spheresoriented stably parallelizable m-sphere bundle over \(S^ n\)three-fold Toda bracketszero- dimensional component of the stable cohomotopy ring

Mathematics Subject Classification ID

Fiber bundles in algebraic topology (55R10) Operations in homotopy groups (55Q35) Cohomotopy groups (55Q55)

Related Items

A constructive approach to higher homotopy operations

Cites Work

• Framings of sphere bundles over pheres, the plumbing pairing, and the framed bordism classes of rank two simple Lie groups
• Framing the exceptional Lie group \(G_2\)
• Orbits and the homotopy class of a compactification of a classical map
• Some differentials in the Adams spectral sequence. II
• Toda brackets in differential topology
• On framed cobordism classes representable on a fixed manifold
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• On the Inertia Group of π-Manifolds
• The Homotopy Theory of Sphere Bundles Over Spheres (I)

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