Sums of stably trivial vector bundles

DOI10.1017/S0305004100056565zbMath0435.55006MaRDI QIDQ3874958

Jacques Allard

Publication date: 1980

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Stiefel manifoldStiefel-Whitney classspin representationsnon triviality of vector bundlesspin operationssums of stably trivial vector bundles

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) Characteristic classes and numbers in differential topology (57R20) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Topology of vector bundles and fiber bundles (57R22) Operations and obstructions in algebraic topology (55S99)

Related Items

Freeness of orthogonal modules

Cites Work

• Vector bundles and the Künneth formula
• The Intrinsic Join: A Study of the Homotopy Groups of Stiefel Manifolds
• Vector Bundles and Projective Modules
• A Formula for the Tangent Bundle of Flag Manifolds and Related Manifolds
• SERIES SUMMATION OF STABLY FREE MODULES
• A Note on the Parallelizability of Sphere-Bundles over Spheres