Scribbling continua in \(\mathbb{R}^ n\) and constructing singularities with prescribed Nash fibre and tangent cone (Q1896630)
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scientific article; zbMATH DE number 792525
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Scribbling continua in \(\mathbb{R}^ n\) and constructing singularities with prescribed Nash fibre and tangent cone |
scientific article; zbMATH DE number 792525 |
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Scribbling continua in \(\mathbb{R}^ n\) and constructing singularities with prescribed Nash fibre and tangent cone (English)
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18 October 1995
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Using approximations in the Hausdorff metric, the authors prove that any continuum (non-empty connected set) in \(\mathbb{R}^n\) is the set of limits at infinity of a real-analytic curve. This result is then used to prove a similar result for the tangent cone of Whitney stratified sets.
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Nash fibres
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Hausdorff metric
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Whitney stratified sets
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