On Ideal-Derived-Set Mappings in Uniform Spaces

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外文摘要：In this paper,we introduce some ideal-derived-set mappings in uniform spaces and investigate the images of those mappings.Meanwhile,we introduce a concept of (I)-Hurewicz boundedness,study some basic topological operations of them.Finally,we obtain an equivalent characterization of(I)-Hurewicz boundedness in uniform spaces.

外文关键词：

uniform spacesmappings(I)-cluster points(I)-Hurewicz boundedness

作者：

Lihua LIN、Xiangeng ZHOU

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作者单位：

School of Information Engineering,Sanming University,Fujian 365004,P.R.China

Institute of Mathematics,Ningde Normal University,Fujian 352100,P.R.China

基金：

National Natural Science Foundation of ChinaNatural Science Foundation of Fujian ProvinceNatural Science Foundation of Fujian ProvinceProject of Innovation Groups of Ningde Normal University

项目编号：

121710152023J0110782020J052302023T01

出版年：

2024

DOI：

10.3770/j.issn:2095-2651.2024.04.009

数学研究及应用

大连理工大学

数学研究及应用

影响因子：0.094

ISSN：2095-2651

年,卷(期)：2024.44(4)