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The Lelek fan admits a completely scrambled weakly mixing homeomorphism

Year: 2024

Type: article

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.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.13205

Author: Piotr Oprocha

Institution: University of Ostrava

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

OpenAlex ID: W4405962406

FWCI: 1.959

Cites: 26

Cited by: 3

Related to: 10