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.
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页数：5
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