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

共 50 条

[31] On transfinite extension of asymptotic dimension
Radul, T.
TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (14) : 2292 - 2296
[32] Asymptotic coarsening of proper metric spaces and index problems
Xiaoman Chen
Qin Wang
manuscripta mathematica, 2003, 110 : 475 - 486
[33] Asymptotic coarsening of proper metric spaces and index problems
Chen, XM
Wang, Q
MANUSCRIPTA MATHEMATICA, 2003, 110 (04) : 475 - 486
[34] Asymptotic mean value Laplacian in metric measure spaces
Minne, Andreas
Tewodrose, David
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 491 (02)
[35] Asymptotic average shadowing property on compact metric spaces
Honary, B.
Bahabadi, A. Zamani
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (09) : 2857 - 2863
[36] ASYMPTOTIC FUZZY CONTRACTIVE MAPPINGS IN FUZZY METRIC SPACES
Gopal, Dhananjay
Martinez-Moreno, Juan
Rodriguez-Lopez, Rosana
KYBERNETIKA, 2024, 60 (03) : 394 - 411
[37] ON UNIVERSAL PROPER METRIC SPACES OF ASYMPTOTIC DIMENSION 1
Zarichnyi, Mykhailo
JOURNAL OF PHYSICAL STUDIES, 2023, 27 (01):
[38] AN ASYMPTOTIC EXTENSION OF MORAN CONSTRUCTION IN METRIC MEASURE SPACES
Wu, Daruhan
TSUKUBA JOURNAL OF MATHEMATICS, 2016, 39 (02) : 167 - 179
[39] CERTAIN ASYMPTOTIC CHARACTERISTICS OF COMPLETELY BOUNDED METRIC SPACES
KOLMOGOROV, AN
DOKLADY AKADEMII NAUK SSSR, 1956, 108 (03): : 385 - 388
[40] Transfinite asymptotic dimension and APD profiles
Yamauchi, Takamitsu
TOPOLOGY AND ITS APPLICATIONS, 2021, 295

← 1 2 3 4 5 →