ON APPROXIMATIVE PROPERTIES OF LOCALLY CHEBYSHEV SETS

被引：0
|
作者：
Alimov, Alexey R. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia
来源：
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2018年 / 44卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
Chebyshev set; locally Chebyshev set; local strict sun; best approximation; monotone path-connected set;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A locally Chebyshev set is a set whose intersection with some closed neighbourhood with center at any point of this set is a Chebyshev set. The paper is concerned with local and global approximative properties of sets. A number of new properties of locally Chebyshev sets and local strict suns are put forward. We give an elementary proof of the recent Flerov's result to the effect that in a two-dimensional normed linear space a connected locally Chebyshev set is a Chebyshev set.
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页码：36 / 42
页数：7
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