A dichotomy for spaces near dimension zero

被引：2

作者：

Lipham, David S. ^{[1
]}

机构：

[1] Auburn Univ, Dept Math, Montgomery, AL 36117 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2023年 / 336卷

关键词：

Almost zero-dimensional; Weakly; 1-dimensional; Dimensional kernel; Hereditarily locally connected; R-tree; Smooth fan; POINTS;

D O I：

10.1016/j.topol.2023.108611

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the classes of weakly 1-dimensional and almost 0-dimensional spaces are disjoint. The result has applications to hereditarily locally connected spaces, R-trees, and endpoints of smooth fans.& COPY; 2023 Elsevier B.V. All rights reserved.

引用

页数：5