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

DOI10.1016/J.TOPOL.2007.01.016zbMath1120.55008OpenAlexW2006378671MaRDI QIDQ880151

Ryuichi Tanaka

Publication date: 10 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.topol.2007.01.016

zbMATH Keywords

vector bundleindexsphere 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 (3)

A fiberwise analogue of the Borsuk-Ulam theorem for sphere bundles over a 2-cell complex. II ⋮ 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
• A stability theorem for the index of sphere bundles
• Fixed point free involutions and equivariant maps
• ON THE INDEX AND CO-INDEX OF SPHERE BUNDLES
• Fixed Point Free Involutions and Equivariant Maps. II

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