MEAN DIMENSION OF FULL SHIFTS

被引：16

作者：

Tsukamoto, Masaki ^{[1
]}

机构：

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

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2019年 / 230卷 / 01期

关键词：

COMPACTA;

D O I：

10.1007/s11856-018-1813-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a finite-dimensional compact metric space and K-Z the full shift on the alphabet K. We prove that its mean dimension is given by dimK or dim K - 1 depending on the "type" of K. We propose a problem which seems interesting from the view point of infinite-dimensional topology.

引用

页码：183 / 193

页数：11

共 17 条

[1]

Boltyanskii V., 1949, Dokl. Akad. Nauk SSSR, V67, P597

[2]

Dranishnikov A.N., 2001, Topology Atlas Invited Contributions, V6

[3] INFINITE DIMENSIONAL COMPACTA HAVING COHOMOLOGICAL DIMENSION-2 - AN APPLICATION OF THE SULLIVAN CONJECTURE [J].