On asymptotic power dimension

被引：2
|
作者：
Kucab, Jacek [1 ]
Zarichnyi, Mykhailo [1 ,2 ]
机构：
[1] Univ Rzeszow, Fac Math & Nat Sci, Al Rejtana 16A, PL-35959 Rzeszow, Poland
[2] Lviv Natl Univ, Dept Mech & Math, Univ Ska Str 1, UA-79000 Lvov, Ukraine
来源：
TOPOLOGY AND ITS APPLICATIONS | 2016年 / 201卷
关键词：
Assouad-Nagata dimension; Asymptotic dimension; Asymptotic power dimension; Holder map; Symmetric power;
D O I：
10.1016/j.topol.2015.12.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the asymptotic power dimension, i.e., the asymptotic dimension with control power function. It is proved that this dimension is invariant under the coarse bi-Holder transformations. We also establish estimates for the power asymptotic dimension of the symmetric and hypersymmetric products. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：124 / 130
页数：7
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