Strongly ultrametric preserving functions

被引：1
|
作者：
Dovgoshey, Oleksiy [1 ,2 ]
机构：
[1] NAS Ukraine, Inst Appl Math & Mech, Sloviansk, Ukraine
[2] Univ Turku, Dept Math & Stat, Turku, Finland
来源：
TOPOLOGY AND ITS APPLICATIONS | 2024年 / 351卷
基金：
芬兰科学院;
关键词：
Compact ultrametric space; Totally bounded ultrametric space; Ultrametric preserving function; Strongly ultrametric preserving function; PRODUCTS; SPACES;
D O I：
10.1016/j.topol.2024.108931
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An ultrametric preserving function f is said to be strongly ultrametric preserving if ultrametrics d and f degrees d define the same topology on X for each ultrametric space (X, d). The set of all strongly ultrametric preserving functions is characterized by several distinctive features. In particular, it is shown that an ultrametric preserving f belongs to this set iff f preserves the property to be compact. (c) 2024 Elsevier B.V. All rights reserved.
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页数：18
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