Classifying 𝐺 spheres

DOI10.1090/S0273-0979-1982-15015-7zbMath0502.57017OpenAlexW1975743218MaRDI QIDQ3968181

Ib Madsen, Mel Rothenberg

Publication date: 1982

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1982-15015-7

zbMATH Keywords

equivariant homotopy type of F/PL away from twopiecewise linear actions of odd order cyclic groupspiecewise linear G- signature theoremPL classification of homotopy linear PL G-spheresSullivan orientation in equivariant K-theory for equivariant microbundlestopological G-transversality theorem

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Surgery and handlebodies (57R65) Finite transformation groups (57S17) Equivariant cobordism (57R85) Fiber spaces and bundles in algebraic topology (55R99) General position and transversality (57Q65) Microbundles and block bundles (57N55) Microbundles and block bundles (57Q50)

Related Items (3)

Automorphisms of manifolds and algebraic K-theory. I ⋮ Topological classification of affine operators on unitary and Euclidean spaces ⋮ Maps between Orbifolds

Cites Work

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• Non-linear similarity
• On the topological classification of linear representations
• The functors \(K_{-i}\) and pseudo-isotopies of polyhedra
• The relation of cobordism to K-theories
• Recognition of Linear Actions on Spheres
• Orthogonal transformations for which topological equivalence implies linear equivalence

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