ON IDEAL-DERIVED-SET MAPPINGS IN UNIFORM SPACES
Received:February 28, 2024  Revised:March 07, 2024
Key Words: uniform space   mapping   I-cluster point   I-Hurewicz boundedness.  
Fund Project:Supported by NSFC (No. 12171015), NSF of Fujian Province, China (No. 2023J011078, 2020J05230) and and the Project of Innovation Groups of Ningde Normal University (No. 2023T01).
Author NameAffiliationAddress
Lihua Lin School of Information Engineering, Sanming University 
Xiangeng Zhou* Ningde Normal Univisity 福建省宁德市东侨开发区学院路1号宁德师范学院数理学院
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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 $\mathcal {I}$-Hurewicz boundedness, study some basic topological operations of them. Finally, we obtain an equivalent characterization of $\mathcal {I}$-Hurewicz boundedness in uniform spaces.
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