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arXiv · 2504.06641

Some consequences of shadowing and entropy-expansiveness

Noriaki Kawaguchi
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Abstract

We show that if a continuous self-map of a compact metric space is h-expansive and satisfies the shadowing property, then every non-empty uniformly rigid subset is zero-dimensional, and hence the set of periodic points is also zero-dimensional if it is not empty.

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Noriaki Kawaguchi. 2025-04-09. Some consequences of shadowing and entropy-expansiveness. https://arxiv.org/abs/2504.06641

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