Connectedness in asymmetric spaces

被引：3
|
作者：
Tsar'kov, I. G. [1 ]
机构：
[1] Lomonosov Moscow State Univ, Moscow Ctr Fundamental & Appl Math, Leninskie Gory, Moscow 119991, Russia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 527卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
Asymmetric space; Convex set; Connected set; Metric projection; BANACH-MAZUR THEOREM; SETS;
D O I：
10.1016/j.jmaa.2023.127381
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Inverse theorems for geometric approximation theory related to the structure of approximating sets are obtained. Various types of connectedness of sets in asymmetric spaces (generally nonmetrizable) are studied. In particular, conditions are established for an asymmetric space and a subset of this space that guarantee that the intersection of an open ball with this set is path-connected.(c) 2023 Elsevier Inc. All rights reserved.
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页数：14
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