Stable extendibility of vector bundles over Lens spaces mod 3 and the stable splitting problem

DOI10.1016/j.topol.2009.07.003zbMath1178.55013OpenAlexW2058711721MaRDI QIDQ842975

Teiichi Kobayashi, Yutaka Hemmi, Kazushi Komatsu

Publication date: 28 September 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10126/3047

zbMATH Keywords

Lens space\(KO\)-theorystable extendibilitypower of vector bundlestable splitting problem

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Topological (K)-theory (55N15) Fiber spaces and bundles in algebraic topology (55R99)

Cites Work

• Unnamed Item
• Extendibility and stable extendibility of normal bundles associated to immersions of real projective spaces
• Stably extendible vector bundles over the quaternionic projective spaces
• Stably extendible vector bundles over the real projective spaces and the lens spaces
• Stable extendibility of vector bundles over \(\mathbb{RP}^n\) and the stable splitting problem
• Extendibility and stable extendibility of vector bundles over lens spaces mod 3
• The structure of \(K_ \Lambda\)-rings of the lens space and their applications
• Characteristic Classes. (AM-76)
• EXTENDIBLE VECTOR BUNDLES OVER REAL PROJECTIVE SPACE

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