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arXiv · 2601.08479

A note on the omega-chaos

Noriaki Kawaguchi
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Abstract

For any continuous self-map of a compact metric space, we provide sufficient conditions under which the infinite direct product of the map is $ω$-chaotic. We also apply the result to obtain some examples of unusual $ω$-chaotic maps.

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Noriaki Kawaguchi. 2026-03-10. A note on the omega-chaos. https://arxiv.org/abs/2601.08479

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