On a extension of the James-Whitehead theorem about sphere bundles over spheres

DOI10.3792/PJAA.64.356zbMath0665.57018OpenAlexW2042406030MaRDI QIDQ1116122

Hiroyasu Ishimoto

Publication date: 1988

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.64.356

zbMATH Keywords

handlebodyJ-homomorphismhomotopy equivalentboundaries of handle bodiesgluing q-handles to a \((p+q+1)\)-disk

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Algebraic topology on manifolds and differential topology (57R19) (J)-morphism (55Q50)

Related Items (1)

On 3-connected 10-dimensional manifolds

Cites Work

• 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
• Classification problems in differential topology. I: Classification of handlebodies
• The Homotopy Theory of Sphere Bundles Over Spheres (I)

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