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Constructs uncountable families of non-homeomorphic fans that support topologically mixing maps, implying new insights into dynamical systems.
The Lelek fan is the only smooth fan that has a dense set of end-points. In this paper, we study non-smooth fans with this property; i.e., we construct an uncountable family of pairwise non-homeomorphic such fans. Furthermore, we prove that each of them admits a topologically mixing non-invertible mapping as well as a topologically mixing homeomorphism.
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Banič et al. (2026) studied this question.
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