The Preparation Theorem for Composite Functions

DOI10.2307/2046413zbMath0647.58004OpenAlexW4210927266MaRDI QIDQ3791920

Adam Kowalczyk

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046413

zbMATH Keywords

preparation theoremequivariant preparation theorem

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Singularities of differentiable mappings in differential topology (57R45) Catastrophe theory (58K35) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Representation and superposition of functions (26B40)

Cites Work

• Smooth functions invariant under the action of a compact Lie group
• Stability of \(C^ \infty\) mappings. I: The division theorem
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