The degree of equivariant maps

DOI10.1016/j.topol.2004.08.003zbMath1064.57038OpenAlexW2067373071MaRDI QIDQ1767722

Yasuhiro Hara

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1016/j.topol.2004.08.003

zbMATH Keywords

transferdegree of a map\(G\)-cohomologyindex of a \(G\)-space

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Degree, winding number (55M25) Compact Lie groups of differentiable transformations (57S15) Algebraic topology on manifolds and differential topology (57R19) Variational aspects of group actions in infinite-dimensional spaces (58E40)

Related Items (5)

Degree of equivariant maps between generalized \(G\)-manifolds ⋮ Equivariant maps between complex Stiefel manifolds ⋮ Equivariant Maps from Stiefel Bundles to Vector Bundles ⋮ Index of Grassmann manifolds and orthogonal shadows ⋮ Fixed point free actions of spheres and equivariant maps

Cites Work

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• Fibre bundles and the Euler characteristic
• Borsuk-Ulam theorem and Stiefel manifolds
• Nonexistence of Equivariant Degree One Maps
• Maps of Stiefel manifolds and a Borsuk–Ulam theorem
• An ideal-valued cohomological index theory with applications to Borsuk—Ulam and Bourgin—Yang theorems
• Characteristic Classes. (AM-76)
• Borsuk-Ulam type theorems for compact Lie group actions
• Stable Homotopy Theory is not Self-Dual

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