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arXiv · 2312.07574

Chaos and mixing homeomorphisms on fans

Iztok Banic·Goran Erceg·Judy Kennedy·Chris Mouron·Van Nall
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Abstract

We construct a mixing homeomorphism on the Lelek fan. We also construct a mixing homeomorphism on the Cantor fan. Then, we construct a family of uncountably many pairwise non-homeomorphic (non-)smooth fans that admit a mixing homeomorphism.

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Iztok Banic, Goran Erceg, Judy Kennedy, Chris Mouron, Van Nall. 2023-12-10. Chaos and mixing homeomorphisms on fans. https://arxiv.org/abs/2312.07574

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