Non-equivalent germs remain non-equivalent when adding quadratic forms in new variables (Q1395836)
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scientific article; zbMATH DE number 1945013
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-equivalent germs remain non-equivalent when adding quadratic forms in new variables |
scientific article; zbMATH DE number 1945013 |
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Non-equivalent germs remain non-equivalent when adding quadratic forms in new variables (English)
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1 July 2003
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It is shown if the germs of 2 real-valued functions \(f\) and \(g\) are not equivalent then the germs of \(f+q\) and \(g+q\), where \(q\) is a quadratic form, are also not equivalent. The persistence of inequivalence under the addition of quadratic forms in new variables is essential for the classification of critical points in catastrophe theory.
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critical point theory
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catastrophe theory
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residual singularity
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non-equivalent germs
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stability
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determinacy of map germs
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addition of quadratic forms
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