Vietoris超空间F(X)和某些广义度量性质

IF 0.7 4区数学 Q2 MATHEMATICS

Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-04-28 DOI:10.15672/hujms.1203236

L. Kočinac, L. Q. Tuyen, Tuyen ONG VAN

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引用次数: 0

摘要

本文研究了具有Vietoris拓扑的空间X的有限子集的空间F(X)的几个广义度量性质。特别地，我们考虑这样的性质$(P)$，其中$\mathcal F(X)$具有$(P)$当且仅当$X$具有$(P)$。同时，我们也得到了一些关于连续映射下度量空间图像的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

The Vietoris hyperspace $\mathcal F(X)$ and certain generalized metric properties

In this paper, we study several generalized metric properties of the space $\mathcal F(X)$ of finite subsets of a space $X$ endowed with the Vietoris topology. In particular, we consider such properties $(P)$ for which $\mathcal F(X)$ has $(P)$ if and only if $X$ has $(P)$. Also, we obtain some results related to the images of metric spaces under some kinds of continuous mappings.

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来源期刊

Hacettepe Journal of Mathematics and Statistics 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

100

审稿时长

6-12 weeks

期刊介绍： Hacettepe Journal of Mathematics and Statistics covers all aspects of Mathematics and Statistics. Papers on the interface between Mathematics and Statistics are particularly welcome, including applications to Physics, Actuarial Sciences, Finance and Economics. We strongly encourage submissions for Statistics Section including current and important real world examples across a wide range of disciplines. Papers have innovations of statistical methodology are highly welcome. Purely theoretical papers may be considered only if they include popular real world applications.