On Ideal-Derived-Set Mappings in Uniform Spaces

作     者：Lihua LIN Xiangeng ZHOU Lihua LIN;Xiangeng ZHOU

作者机构：School of Information Engineering Sanming University Institute of Mathematics Ningde Normal University 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文))

年 卷 期：2024年第44卷第4期

页      面：502-510页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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.