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Chaos and mixing homeomorphisms on fans

2023/12/10 by Banic, Iztok, Erceg, Goran, Kennedy, Judy +2 · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2312.07574

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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