Chaos and mixing homeomorphisms on fans
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.
arXiv commentarXiv admin note: substantial text overlap with arXiv:2310.19129, arXiv:2309.04003