The Hilbert cube contains a minimal subshift of full mean dimension

被引：0
|
作者：
Jin, Lei [1 ]
Qiao, Yixiao [2 ]
机构：
[1] Sun Yat Sen Univ, Sch Math, Guangzhou, Peoples R China
[2] Guangdong Univ Technol, Sch Math & Stat, Guangzhou, Peoples R China
来源：
STUDIA MATHEMATICA | 2024年 / 274卷 / 01期
关键词：
mean dimension; embedding; minimal dynamical system;
D O I：
10.4064/sm210328-4-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a minimal dynamical system of mean dimension 1 which can be embedded in the shift action on the Hilbert cube [0, 1]Z. This enables us to give the exact ranges of values of mean dimension for which there is a minimal dynamical system that can be (resp. cannot be) embedded in the shift action on the Hilbert cube.
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页码：1 / 10
页数：10
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