Topological weak mixing and quasi-Bohr systems (Q814159)
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scientific article; zbMATH DE number 5003413
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Topological weak mixing and quasi-Bohr systems |
scientific article; zbMATH DE number 5003413 |
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Topological weak mixing and quasi-Bohr systems (English)
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6 February 2006
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The author proves the following: If \((X,T)\) is a minimal dynamical system which is not weakly mixing, then some minimal proximal extension of \((X,T)\) admits a nontrivial quasi-Bohr (i.e. nontrivial equicontinuous extension of a proximal system) factor. The converse does not hold.
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minimal dynamical systems
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proximal systems
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Ellis group
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