On Ideal-Derived-Set Mappings in Uniform Spaces  

作　　者：Lihua LIN Xiangeng ZHOU 

机构地区：[1]School of Information Engineering,Sanming University,Fujian 365004,P.R.China [2]Institute of Mathematics,Ningde Normal University,Fujian 352100,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2024年第4期502-510,共9页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.12171015);the Natural Science Foundation of Fujian Province(Grant Nos.2023J011078;2020J05230);the Project of Innovation Groups of Ningde Normal University(Grant No.2023T01)。

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.

关 键 词：uniform spaces MAPPINGS I-cluster points I-Hurewicz boundedness 

分 类 号：O189[理学—数学]