Some global inverse function theorems (Q799995)
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scientific article; zbMATH DE number 3876243
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some global inverse function theorems |
scientific article; zbMATH DE number 3876243 |
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Some global inverse function theorems (English)
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1984
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The author tries to invert globally a mapping f from \({\mathbb{R}}^ n\) into \({\mathbb{R}}^ n\) whose derivative is invertible everywhere, by using a diffeotopy between f and a linear transformation. A central argument however, used in two of the three theorems, is wrong: the first equation on page 380 is wrong.
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global inverse function theorem
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