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A dynamical version of the Kuratowski–Mycielski theorem and invariant chaotic sets
Published online by Cambridge University Press: 24 January 2018
Abstract
We establish a dynamical version of the Kuratowski–Mycielski theorem on the existence of ‘large’ invariant dependent sets. We apply this result to the study of invariant chaotic sets in topological dynamical systems, simplify many known results on this topic and also obtain some new results.
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- © Cambridge University Press, 2018