A second zero of a function. (Q1855880)
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scientific article; zbMATH DE number 1861252
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A second zero of a function. |
scientific article; zbMATH DE number 1861252 |
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A second zero of a function. (English)
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28 January 2003
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A sufficient condition is given for a \(C^{m-n+1}\)-mapping from \(\mathbb R^m\) to \(\mathbb R^n\) with a zero point to have a second zero. The existence of a path, parametrized by the arclength, linking both zeros is proved. The existence condition still holds for continuous mappings when \(m=n\).
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zero point
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Banach fix point theorem
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homotopy
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topological degree
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