A Borsuk-Ulam type theorem for sphere bundles over stunted projective spaces

DOI10.1016/j.topol.2008.11.011zbMath1170.55002OpenAlexW2045136894MaRDI QIDQ1009741

Ryuichi Tanaka

Publication date: 3 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2008.11.011

zbMATH Keywords

equivariant homotopy theoryindexsphere bundle\(\mathbb Z_2\)-map

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Equivariant homotopy theory in algebraic topology (55P91)

Cites Work

• Unnamed Item
• Some consequences of a theorem of Bott
• 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
• Fixed point free involutions and equivariant maps
• ON THE INDEX AND CO-INDEX OF SPHERE BUNDLES
• Fixed Point Free Involutions and Equivariant Maps. II
• Immersions and Embeddings of Projective Spaces
• Vector fields on spheres

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