Homotopy classification of connected sums of sphere bundles over spheres. II

DOI10.2977/prims/1195184025zbMath0531.55007OpenAlexW4248006725MaRDI QIDQ788320

Hiroyasu Ishimoto

Publication date: 1982

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/1195184025

zbMATH Keywords

J-homomorphismconnected sums of q-sphere bundles over p-spheres up to homotopy equivalence

Mathematics Subject Classification ID

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

Related Items (1)

Homotopy classification of connected sums of sphere bundles over spheres. III

Cites Work

• Unnamed Item
• Unnamed Item
• Differentiable links
• Homotopy classification of connected sums of sphere bundles over spheres
• On the classification of (\(n\)-2)-connected 2\(n\)-manifolds with torsion free homology groups
• On the classification of sufficiently connected manifolds
• On Hopf invariants
• Representing handlebodies by plumbing and surgery
• Classification problems in differential topology. I: Classification of handlebodies
• The Homotopy Theory of Sphere Bundles Over Spheres (II)
• On the Homotopy Classification of the Extensions of a Fixed Map
• On the Structure of Manifolds
• The Homotopy Theory of Sphere Bundles Over Spheres (I)
• On the Homotopy Groups of the Union of Spheres
• A generalization of the Hopf invariant

This page was built for publication: Homotopy classification of connected sums of sphere bundles over spheres. II