Blow-analytic SV-sufficiency does not always imply blow-analytic sufficiency (Q1301360)
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scientific article; zbMATH DE number 1331854
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Blow-analytic SV-sufficiency does not always imply blow-analytic sufficiency |
scientific article; zbMATH DE number 1331854 |
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Blow-analytic SV-sufficiency does not always imply blow-analytic sufficiency (English)
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12 March 2000
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The author studies the relation between the blow-analytic \(SV\)-sufficiency and blow-analytic sufficiency of function germs. It is known that \(SV\)-sufficiency of jets is equivalent to \(C^0\)-sufficiency of jets in the case of functions by the Kuiper-Kuo-Lojasiewicz theorem. This is compatible with the Thom-Kuo principle. The author of this paper explained that the Thom-Kuo principle does not hold in the blow-analytic category by using an example.
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blow-analytic
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sufficiency
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topological type
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0.7430766820907593
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0.734424889087677
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