勒勒克扇形承认一个完全扰乱的弱混合同构

IF 0.8 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2024-12-31 DOI:10.1112/blms.13205

Piotr Oprocha

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The Lelek fan admits a completely scrambled weakly mixing homeomorphism

We prove that the Lelek fan admits a completely scrambled weakly mixing homeomorphism. This is then used to show that for every $n$ there is a continuum of topological dimension $n$ admitting a weakly mixing completely scrambled homeomorphism. This provides a final answer to a question from 2001.

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