Homotopy classification of connected sums of sphere bundles over spheres

DOI10.3792/PJAA.55.306zbMath0446.55004OpenAlexW2030778160MaRDI QIDQ1145916

Hiroyasu Ishimoto

Publication date: 1979

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.55.306

zbMATH Keywords

connected sumshomotopy classification problem of sphere bundles over spheresp-sphere bundle over a q-sphere which admits a cross-section

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Classification of homotopy type (55P15) Surgery and handlebodies (57R65)

Related Items (2)

On a extension of the James-Whitehead theorem about sphere bundles over spheres ⋮ Homotopy classification of connected sums of sphere bundles over spheres. II

Cites Work

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• On the groups \(J(X)\). IV
• Classification of (n-1)-connected 2n-manifolds
• Classification problems in differential topology. I: Classification of handlebodies
• On the Homotopy Classification of the Extensions of a Fixed Map
• The Homotopy Theory of Sphere Bundles Over Spheres (I)
• On the Homotopy Groups of the Union of Spheres

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