空间和有限维多面体空间中集合的Solarity和connectedness

IF 0.8 4区数学 Q2 MATHEMATICS

Sbornik Mathematics Pub Date : 2022-01-01 DOI:10.1070/SM9554

I. G. Tsar’kov

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引用次数: 3

摘要

研究了由给定空间的单调路径连通有界紧子集构造的广义分段函数。它们被证明是单调的路径连接的太阳。在有限维多面体空间中，研究了允许下半连续选择度量投影算子的集合的光度点。构造了四维多面体赋范空间中无连通太阳的一个例子。参考书目:14篇。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Solarity and connectedness of sets in the space and in finite-dimensional polyhedral spaces

Generalized -piecewise functions constructed from given monotone path-connected boundedly compact subsets of the space are studied. They are shown to be monotone path-connected suns. In finite-dimensional polyhedral spaces, luminosity points of sets admitting a lower semicontinuous selection of the metric projection operator are investigated. An example of a non- -connected sun in a four-dimensional polyhedral normed space is constructed. Bibliography: 14 titles.

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来源期刊

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis