On trivialities of Stiefel-Whitney classes of vector bundles over highly connected complexes

DOI10.1016/J.TOPOL.2008.05.006zbMath1148.55010OpenAlexW2009784702MaRDI QIDQ946587

Ryuichi Tanaka

Publication date: 23 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.topol.2008.05.006

zbMATH Keywords

vector bundleStiefel-Whitney classsquaring operation

Mathematics Subject Classification ID

Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Primary cohomology operations in algebraic topology (55S05)

Related Items (3)

On \(KO\)-groups of complex Milnor manifolds ⋮ Vector bundles over iterated suspensions of stunted real projective spaces ⋮ On Stiefel-Whitney classes of vector bundles over real Stiefel Manifolds

Cites Work

• Some consequences of a theorem of Bott
• On the non-existence of elements of Hopf invariant one
• A fiberwise analogue of the Borsuk - Ulam theorem for sphere bundles over a 2-cell complex
• A fiberwise analogue of the Borsuk-Ulam theorem for sphere bundles over a 2-cell complex. II
• A stability theorem for the index of sphere bundles
• ON THE INDEX AND CO-INDEX OF SPHERE BUNDLES
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