A smooth counterexample to the Seifert conjecture (Q1842646)
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scientific article; zbMATH DE number 750887
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A smooth counterexample to the Seifert conjecture |
scientific article; zbMATH DE number 750887 |
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A smooth counterexample to the Seifert conjecture (English)
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4 May 1995
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Developing an ingenious construction of a \(C^\infty\) aperiodic plug in dimension three, the author offers a counterexample to the Seifert conjecture: every nonsingular continuous vector field on \(S^3\) has a closed integral curve. In fact the answer of the author is the following (Theorem 5.1): There exists on \(S^3\) a \(C^\infty\) dynamical system with no compact orbits.
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flow
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mirror-image plus
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Wilson-type plug
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self-insertions
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aperiodic plug
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Seifert conjecture
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dynamical system
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compact orbits
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