Inverses, powers and cartesian products of topologically deterministic maps
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Topological dynamics, topological determinism, recurrenceAbstrakt
We show that if $(X,T)$ is a topological dynamical system which is deterministic in the sense of Kamiński, Siemaszko and Szymański then $(X,T^{-1})$ and $(X\times X,T\times T)$ need not be deterministic in this sense. However if $(X\times X,T\times T)$ is deterministic then $(X,T^{n})$ is deterministic for all $n\in{\mathbb{N}}\setminus\{0\}$.Pobrania
Opublikowane
2012-04-23
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1.
HOCHMAN, Michael & SIEMASZKO, Artur. Inverses, powers and cartesian products of topologically deterministic maps. Topological Methods in Nonlinear Analysis [online]. 23 kwiecień 2012, T. 39, nr 1, s. 189–198. [udostępniono 22.7.2024].
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