数学研究及应用2024,Vol.44Issue(4) :502-510.DOI:10.3770/j.issn:2095-2651.2024.04.009

On Ideal-Derived-Set Mappings in Uniform Spaces

Lihua LIN Xiangeng ZHOU
数学研究及应用2024,Vol.44Issue(4) :502-510.DOI:10.3770/j.issn:2095-2651.2024.04.009

On Ideal-Derived-Set Mappings in Uniform Spaces

Lihua LIN 1Xiangeng ZHOU2
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作者信息

  • 1. School of Information Engineering,Sanming University,Fujian 365004,P.R.China
  • 2. Institute of Mathematics,Ningde Normal University,Fujian 352100,P.R.China
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Abstract

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.

Key words

uniform spaces/mappings/(I)-cluster points/(I)-Hurewicz boundedness

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基金项目

National Natural Science Foundation of China(12171015)

Natural Science Foundation of Fujian Province(2023J011078)

Natural Science Foundation of Fujian Province(2020J05230)

Project of Innovation Groups of Ningde Normal University(2023T01)

出版年

2024
数学研究及应用
大连理工大学

数学研究及应用

CSCD
影响因子:0.094
ISSN:2095-2651
参考文献量17
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