| On Ideal-Derived-Set Mappings in Uniform Spaces |
| Received:February 28, 2024 Revised:March 12, 2024 |
| Key Words:
uniform spaces mappings $\mathcal{I}$-cluster points $\mathcal {I}$-Hurewicz boundedness
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.12171015), the Natural Science Foundation of Fujian Province (Grant Nos.2023J011078; 2020J05230) and the Project of Innovation Groups of Ningde Normal University (Grant No.2023T01). |
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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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2024.04.009 |
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