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• W1498280816 abstract "Let $T$ be a permutation of an abstract set $X$. In ZFC, we find a necessary and sufficient condition it terms of cardinalities of the $T$-orbits that allows us to topologize $(X,T)$ as a topological dynamical system on a compact Hausdorff space. This extends an early result of H. de Vries concerning compact metric dynamical systems. An analogous result is obtained for ${bold Z}^2$-actions without periodic points." @default.
• W1498280816 created "2016-06-24" @default.
• W1498280816 creator A5082592302 @default.
• W1498280816 date "1997-01-01" @default.
• W1498280816 modified "2023-09-26" @default.
• W1498280816 title "How restrictive is topological dynamics" @default.
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