Asymptotic Dimension of Proper CAT(0) Spaces that are Homeomorphic to the Plane

Canadian mathematical bulletin

Naotsugu Chinen¹  Tetsuya Hosaka² 

[1] Hiroshima Institute of Technology, Hiroshima 731-5193, Japan;Department of Mathematics, Faculty of Education, Utsunomiya University, Utsunomiya, 321-8505, Japan

关键词: asymptotic dimension;    CAT(0) space;    plane;   

DOI  :  10.4153/CMB-2010-069-1

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper, we investigate a proper CAT(0) space $(X,d)$ that is homeomorphic to $mathbb R^2$ and we show that the asymptotic dimension $operatorname{asdim} (X,d)$ is equal to $2$.

【 授权许可】

Unknown