On the classification of G-spheres. I. Equivariant transversality

DOI10.1007/BF02392273zbMath0656.57024MaRDI QIDQ1110144

Ib Madsen, Mel Rothenberg

Publication date: 1988

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

topological manifoldsPL-manifoldsequivariant submersionsequivariant transversalitygap hypotheseslocally linear group actions on spheres for odd order groups

Mathematics Subject Classification ID

Finite transformation groups (57S17) General position and transversality (57N75) General position and transversality (57Q65)

Related Items (11)

An equivariant Novikov conjecture ⋮ Linear and Lipschitz similarity ⋮ Homotopy types of locally linear representation forms ⋮ The classification of nonlinear similarities over 𝑍_{2^{𝑟}} ⋮ On the homotopy theory of equivariant automorphism groups ⋮ A Fixed point theorem for periodic maps on locally symmetric manifolds ⋮ Equivariant L-theory. I ⋮ Higher \(G\)-signatures for Lipschitz manifolds ⋮ On the construction and topological invariance of the Pontryagin classes ⋮ Orbifold transversality ⋮ Topological classification of multiaxial \(U(n)\)-actions (with an appendix by Jared Bass)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equivariant isotopies and submersions
• Geometric equivariant bordism and K-theory
• Non-linear similarity
• The functors \(K_{-i}\) and pseudo-isotopies of polyhedra
• When are topologically equivalent orthogonal transformations linearly equivalent?
• A characterization of free projective planes
• Equivariant cohomology theories
• The index of elliptic operators. I
• The index of elliptic operators. II
• The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
• Equivariant differential topology
• On the classification of 𝐺-spheres
• On the classification of G-spheres II: PL automorphism groups.
• Systems of Fixed Point Sets
• Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92)
• Lower k-theory of finite groups
• Finding a Boundary for an Open Manifold

This page was built for publication: On the classification of G-spheres. I. Equivariant transversality