ASSOUAD-NAGATA DIMENSION OF NILPOTENT GROUPS WITH ARBITRARY LEFT INVARIANT METRICS

被引：4
|
作者：
Higes, J. [1 ]
机构：
[1] Univ Complutense Madrid, Fac Ciencias Math, Dept Geometria & Topol, E-28040 Madrid, Spain
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 06期
关键词：
Assouad-Nagata dimension; asymptotic dimension; nilpotent groups; ASYMPTOTIC DIMENSION;
D O I：
10.1090/S0002-9939-10-10240-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Suppose G is a countable, not necessarily finitely generated, group. We show G admits a proper, left invariant metric d(G) such that the Assouad-Nagata dimension of (G, d(G)) is infinite, provided the center of G is not locally finite. As a corollary we solve two problems of A. Dranishnikov.
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页码：2235 / 2244
页数：10
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