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.

引用

页码：1 / 10

页数：10

共 24 条

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