Cantor limit set of a topological transformation group on \(S^{1}\) (Q763020)
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scientific article; zbMATH DE number 6013252
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cantor limit set of a topological transformation group on \(S^{1}\) |
scientific article; zbMATH DE number 6013252 |
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Cantor limit set of a topological transformation group on \(S^{1}\) (English)
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8 March 2012
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Let \(\Gamma \) be a transformation group on the circle \(S^1\) with two generators which are both homeomorphic transformations onto \(S^1\). A characterization for the limit set of \(\Gamma \) to be totally disconnected and perfect is described in this paper in terms of five technical conditions. A very interesting application is presented for a doubly periodic Riccati equation in the complex domain.
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Cantor limit set
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topological transformation group
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