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
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.
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页数:11
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