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.
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页码：185 / 191
页数：7
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