ASYMPTOTIC DIMENSION AND BOUNDARY DIMENSION OF PROPER CAT(0) SPACES

被引：0

作者：

Chinen, Naotsugu ^{[1
]}

Hosaka, Tetsuya ^{[2
]}

机构：

[1] Natl Def Acad Japan, Dept Math, Yokosuka, Kanagawa 2398686, Japan

[2] Shizuoka Univ, Dept Math, Suruga Ku, Shizuoka 4228529, Japan

来源：

TSUKUBA JOURNAL OF MATHEMATICS | 2012年 / 36卷 / 02期

关键词：

asymptotic dimension; CAT(0) space; CAT(0) group; boundary;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate asymptotic dimension of proper CAT(0) spaces and we show that for a proper cocompact CAT(0) space (X , d), the asymptotic dimension asdim(X , d) is greater than the covering dimension dim partial derivative X of the boundary of X.

引用

页码：185 / 191

页数：7

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