Homotopy classification of connected sums of sphere bundles over spheres, I

DOI10.1017/S0027763000019401zbMath0467.55006OpenAlexW1503396279MaRDI QIDQ3920309

Hiroyasu Ishimoto

Publication date: 1981

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000019401

zbMATH Keywords

homotopy classification of manifoldsJ homomorphismconnected sum of sphere bundles over spheresWall pairing

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Classification of homotopy type (55P15) (J)-morphism (55Q50)

Related Items (3)

Homotopy classification of connected sums of sphere bundles over spheres. III ⋮ On the self-homotopy equivalences of the wedge of certain complexes ⋮ Homotopy types of connected sums of spherical fibre spaces over spheres

Cites Work

• On the suspension sequence
• On the groups \(J(X)\). IV
• On the classification of sufficiently connected manifolds
• On the structure of \((n-1)\)-connected \(2n\)-dimensional \(\pi\)-manifolds
• Classification of (n-1)-connected 2n-manifolds
• Differential Topology

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