Mean dimension and an embedding problem: An example

被引：39

作者：

Lindenstrauss, Elon ^{[1
]}

Tsukamoto, Masaki ^{[2
]}

机构：

[1] Hebrew Univ Jerusalem, Einstein Inst Math, IL-91904 Jerusalem, Israel

[2] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2014年 / 199卷 / 02期

关键词：

Simplicial Complex; Periodic Point; Graph Distance; Embedding Problem; Shift Transformation;

D O I：

10.1007/s11856-013-0040-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any positive integer D, we construct a minimal dynamical system with mean dimension equal to D/2 that cannot be embedded into (([0, 1] (D) )(Z), shift).

引用

页码：573 / 584

页数：12

共 11 条

[1]

[Anonymous], 1988, N HOLLAND MATH STUDI

[2]

[Anonymous], 1941, PRINCETON MATH SERIE

[3]

Coornaert M, 2005, DISCRETE CONT DYN S, V13, P779

[4] Topological invariants of dynamical systems and spaces of holomorphic maps: I [J].

Gromov M. .

Mathematical Physics, Analysis and Geometry, 1999, 2 (4) :323-415

[5] Embedding Zk-actions in cubical shifts and Zk-symbolic extensions [J].

Gutman, Yonatan .

ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2011, 31 :383-403

[6]

Jaworski A., 1974, The Kakutani-Beboutov Theorem for Groups

[7] Mean topological dimension [J].

Lindenstrauss, E ;

Weiss, B .

ISRAEL JOURNAL OF MATHEMATICS, 2000, 115 (1) :1-24

[8]

Lindenstrauss E, 1999, PUBL MATH, P227

[9]

Matousek J, 2008, Lectures on Topological Methods in Combinatorics and Geometry

[10]

Skopenkov A., 2008, SURVEYS CONT MATH, V347, P248

← 1 2 →