On smooth \(\text{rank}\)-1 mappings of Banach spaces onto the plane (Q688602)
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scientific article; zbMATH DE number 444970
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On smooth \(\text{rank}\)-1 mappings of Banach spaces onto the plane |
scientific article; zbMATH DE number 444970 |
Statements
On smooth \(\text{rank}\)-1 mappings of Banach spaces onto the plane (English)
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16 January 1994
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For any separable infinite-dimensional Banach space \(E\) we construct a surjective \(C^ \infty\) mapping \(f: E\to\mathbb{R}^ 2\) satisfying \(\text{rank }Df(v)\leq 1\) for all \(v\in E\).
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Sard's theorem
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critical values
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separable infinite-dimensional Banach
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surjective \(C^ \infty\) mapping
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