The group of self-homotopy equivalences of principal three sphere bundles over the seven sphere

DOI10.1017/S0305004100055122zbMath0391.55005OpenAlexW1963812238MaRDI QIDQ4172640

John W. Rutter

Publication date: 1978

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100055122

zbMATH Keywords

Group of Self-Homotopy EquivalencesHomotopy Classes of Self- Homotopy EquivalencesPrincipal Three Sphere Bundles Over the Seven SphereTorsion Free Rank 2 H-Spaces

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Homotopy equivalences in algebraic topology (55P10) (H)-spaces and duals (55P45) Fiber bundles in algebraic topology (55R10)

Related Items (3)

The group of self-homotopy equivalences of \(S^ 2\)-bundles over \(S^ 4\). I ⋮ Self-homotopy equivalences of the total spaces of a sphere bundle over a sphere ⋮ On self-homotopy equivalences of \(S^ 3\)-principal bundles over \(S^ n\)

Cites Work

• On sphere-bundles over spheres
• On principal \(S^ 3\)-bundles over spheres
• Groups of self homotopy equivalences of induced spaces
• The Classification of Simply Connected $H$-Spaces with Three Cells I.

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