Equivariant semialgebraic vector bundles

DOI10.1016/S0166-8641(01)00291-7zbMath1027.14028OpenAlexW1994832251MaRDI QIDQ697622

Tomohiro Kawakami, Dae Heui Park, Myung-Jun Choi

Publication date: 17 September 2002

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(01)00291-7

zbMATH Keywords

transformation groupequivariant semialgebraic homotopyNash \(G\)-vector bundlesemialgebraic \(G\)-setsemialgebraic \(G\)-vector bundle

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Semialgebraic sets and related spaces (14P10) Equivariant homotopy groups (55Q91) Nash functions and manifolds (14P20)

Cites Work

• One-dimensional Nash groups
• Separation, retractions and homotopy extension in semialgebraic spaces
• Nash manifolds
• Semialgebraic topology over a real closed field. II: Basic theory of semialgebraic spaces
• Equivariant bundles
• The equivariant covering homotopy property for differentiable G-fibre bundles
• Equivariant K-theory
• Approximation Theorems for Nash Mappings and Nash Manifolds
• Equivariant semialgebraic homotopies
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