A fiberwise analogue of the Borsuk-Ulam theorem for sphere bundles over a 2-cell complex. II

DOI10.1016/j.topol.2007.06.006zbMath1126.55002OpenAlexW4251399638MaRDI QIDQ2381640

Ryuichi Tanaka

Publication date: 18 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.topol.2007.06.006

zbMATH Keywords

indexsphere bundle\(\mathbb Z_{2}\)-map

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Fibrewise topology (55R70) Equivariant homotopy theory in algebraic topology (55P91)

Related Items (2)

On trivialities of Stiefel-Whitney classes of vector bundles over highly connected complexes ⋮ A Borsuk-Ulam type theorem for sphere bundles over stunted projective spaces

Cites Work

• Unnamed Item
• 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 stability theorem for the index of sphere bundles
• ON THE INDEX AND CO-INDEX OF SPHERE BUNDLES

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