A dynamical version of Kuratowski-Mycielski Theorem and invariant chaotic sets
Dynamical Systems
2021-04-29 v1
Abstract
We establish a dynamical version of 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.
Keywords
Cite
@article{arxiv.1801.10266,
title = {A dynamical version of Kuratowski-Mycielski Theorem and invariant chaotic sets},
author = {Jian Li and Jie Lü and Yuanfen Xiao},
journal= {arXiv preprint arXiv:1801.10266},
year = {2021}
}
Comments
21 pages, to appear in Ergodic Theory and Dynamical Systems