General Position of Equivariant Maps

DOI10.2307/1997930zbMath0318.57044OpenAlexW4242787993MaRDI QIDQ4080452

Edward Bierstone

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1997930

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Singularities of differentiable mappings in differential topology (57R45) Differentiable mappings in differential topology (57R35) Differentiable maps on manifolds (58C25) (G)-structures (53C10)

Related Items (16)

Permutations; isotropy and smooth cyclic group actions on definite 4-manifolds ⋮ Equivariant metric for smooth moduli spaces ⋮ Smooth group actions on definite 4-manifolds and moduli spaces ⋮ Equivariant Dynamical Systems ⋮ A symplectic geometry approach to generalized Casson’s invariants of 3-manifolds ⋮ Topological degree and the theorem of Borsuk for general covariant mappings with applications ⋮ On the Bauer–Furuta and Seiberg–Witten invariants of families of 4‐manifolds ⋮ Equivariant bifurcation theory and symmetry breaking ⋮ Symmetry breaking and branching patterns in equivariant bifurcation theory. II ⋮ Equivariant Geometry and Kervaire Spheres ⋮ Symmetry breaking and the maximal isotropy subgroup conjecture for reflection groups ⋮ Reconstructions of fronts and caustics depending on a parameter and versality of mappings ⋮ On the zero set of G-equivariant maps ⋮ Borsuk-Ulam type theorems for manifolds ⋮ Stratified obstruction systems for equivariant moduli problems and invariant Euler cycles ⋮ Perturbation of equivariant moduli spaces

Cites Work

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• Smooth functions invariant under the action of a compact Lie group
• Local properties of smooth maps equivariant with respect to finite group actions
• Differentiable invariants
• Regular families of curves
• The equivariant covering homotopy property for differentiable G-fibre bundles
• Representations at fixed points of smooth actions of compact groups
• On the solutions of analytic equations
• Stability of \(C^\infty\) mappings. II: Infinitesimal stability implies stability
• Algebraic approximation of structures over complete local rings
• Idéaux de fonctions différentiables. I
• Stability of \(C^ \infty\) mappings. V: Transversality
• Equivariant differential topology
• Quelques propriétés globales des variétés différentiables
• 𝐺-transversality
• Transversality in G-Manifolds
• Ensembles et morphismes stratifiés

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