On metric spaces with given transfinite asymptotic dimensions

被引：2

作者：

Wu, Yan ^{[1
]}

Zhu, Jingming ^{[1
]}

Radul, Taras ^{[2
,3
]}

机构：

[1] Jiaxing Univ, Coll Data Sci, Jiaxing 314001, Peoples R China

[2] Casimirus Great Univ Bydgoszcz, Inst Math, Bydgoszcz, Poland

[3] Ivan Franko Natl Univ Lviv, Dept Mech & Math, Universytetska St 1, UA-79000 Lvov, Ukraine

来源：

TOPOLOGY AND ITS APPLICATIONS | 2022年 / 314卷

关键词：

Asymptotic dimension; Transfinite asymptotic dimension; Complementary-finite asymptotic dimension; CLASSIFICATION;

D O I：

10.1016/j.topol.2022.108135

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For every countable ordinal number xi, we construct a metric space X-xi whose transfinite asymptotic dimension and complementary-finite asymptotic dimension are both xi. (C) 2022 Elsevier B.V. All rights reserved.

引用

页数：11

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