Inverses, powers and cartesian products of topologically deterministic maps
Keywords
Topological dynamics, topological determinism, recurrenceAbstract
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 $n\in{\mathbb{N}}\setminus\{0\}$.Downloads
Published
2012-04-23
How to Cite
1.
HOCHMAN, Michael and SIEMASZKO, Artur. Inverses, powers and cartesian products of topologically deterministic maps. Topological Methods in Nonlinear Analysis. Online. 23 April 2012. Vol. 39, no. 1, pp. 189 - 198. [Accessed 20 April 2024].
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