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| Given a discrete dynamical system by the pair $(X, f)$, where $X$ is a continuum and $f$ a continuous map of $X $ into itself, we will deal with some dynamical properties of the corresponding hyperspaces $C(X)$ and $2^{X}$ endowed with the Hausdorff topology, such as Li-Yorke sensitivity, weakly mixing, mixing and also ergodicity.
We will give some results and examples chosen in the continuum theory and develop in this setting a non-autonomous theory. |
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