On the domain invariance theorem (Q1764672)
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scientific article; zbMATH DE number 2136840
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the domain invariance theorem |
scientific article; zbMATH DE number 2136840 |
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On the domain invariance theorem (English)
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22 February 2005
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The author proves that if \(f\) continuously maps a compact subset \(X\) of \(\mathbb R^n\) into \(\mathbb R^n\), and all fibers of points in \(f(\partial X)\) have diameter smaller than the distance of a point of \(X\) from the boundary of \(X\), then this point is mapped by \(f\) to the interior of \(f(X)\).
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domain invariance theorem
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topological degree
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