A metric space with its transfinite asymptotic dimension ω+1

被引：7

作者：

Zhu, Jingming ^{[1
]}

Wu, Yan ^{[1
]}

机构：

[1] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Peoples R China

来源：

TOPOLOGY AND ITS APPLICATIONS | 2020年 / 273卷

基金：

中国国家自然科学基金;

关键词：

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

D O I：

10.1016/j.topol.2020.107115

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a metric space whose transfinite asymptotic dimension and complementary-finite asymptotic dimension are both omega + 1, where omega is the smallest infinite ordinal number. Therefore, we prove that the omega conjecture is not true. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：6

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