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

页码：124 / 130

页数：7

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