The Lelek fan admits a completely scrambled weakly mixing homeomorphism
Abstract We prove that the Lelek fan admits a completely scrambled weakly mixing homeomorphism. This is then used to show that for every there is a continuum of topological dimension admitting a weakly mixing completely scrambled homeomorphism. This provides a final answer to a question from 2001.
Authors
- Piotr Oprocha (ORCID: https://orcid.org/0000-0002-0261-7229)
Institutions
- University of Ostrava (CZ)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2024-12-31
- DOI
- https://doi.org/10.1112/blms.13205
- Citations
- 3
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 2.67