arXiv:1610.01793 Abstract | arXiv Analytics

arXiv:1610.01793 [math.DS]Abstract References Reviews Resources

A non-PI minimal system is Li-Yorke sensitive

Published 2016-10-06Version 1

It is shown that any non-PI minimal system is Li-Yorke sensitive. Consequently, any minimal system with nontrivial weakly mixing factor (such a system is non-PI) is Li-Yorke sensitive, which answers affirmatively an open question by Akin and Kolyada.

Categories: math.DS

Subjects: 37B05, 54H20

Keywords: non-pi minimal system, li-yorke sensitive, open question, nontrivial weakly mixing factor

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