On the extendibility of vector bundles over the lens spaces and the projective spaces

zbMath0519.55013MaRDI QIDQ1054314

Haruo Maki

Publication date: 1983

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

zbMATH Keywords

Stiefel-Whitney classescomplexification of the tangent bundle of the real projective n-spaceextendibility of higher order tangent bundles of lens spacesextendibility of vector bundles over the lens spacesgamma-operation in KO-theory

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Obstruction theory in algebraic topology (55S35) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Topological (K)-theory (55N15) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25) Primary cohomology operations in algebraic topology (55S05)

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