Bulletin of the London Mathematical Society, volume 57, issue 2, pages 432-443

The Lelek fan admits a completely scrambled weakly mixing homeomorphism

Publication type: Journal Article
Publication date: 2024-12-31
scimago Q1
SJR: 1.043
CiteScore: 1.9
Impact factor: 0.8
ISSN: 00246093, 14692120
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.

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Ergodic Theory and Dynamical Systems
Ergodic Theory and Dynamical Systems, 1, 100%
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Cambridge University Press
Cambridge University Press, 1, 100%
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