Most homeomorphisms of the circle are semiperiodic (Q1893248)
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scientific article; zbMATH DE number 769526
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Most homeomorphisms of the circle are semiperiodic |
scientific article; zbMATH DE number 769526 |
Statements
Most homeomorphisms of the circle are semiperiodic (English)
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3 July 1995
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The authors generically investigate the set of periodic points of the orientation preserving homeomorphisms of \(S^1\). The main results are the following: (i) All orientation preserving homeomorphisms of \(S^1\) except those in a nowhere dense set are semiperiodic. (ii) Most orientation preserving homeomorphisms of \(S^1\) have a strongly porous set of periodic points.
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periodic points
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homeomorphisms
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porous set
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