| On ${\mathcal{I}}$-Covering Mappings and 1-${\mathcal{I}}$-Covering Mappings |
| Received:December 21, 2018 Revised:April 11, 2019 |
| Key Words:
ideal convergence ${\mathcal{I}}$-covering mappings 1-${\mathcal{I}}$-covering mappings compact mappings
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11801254) and the Ningde Normal University (Grant No.2017T01). |
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| Abstract: |
| In this paper, we introduce the concepts of ${\mathcal{I}}$-covering mappings and 1-${\mathcal{I}}$-covering mappings, discuss the difference between sequence-covering and ${\mathcal{I}}$-covering mappings by some examples. With those concepts, we get some interesting properties of ${\mathcal{I}}$-covering (1-${\mathcal{I}}$-covering) mappings and some characterizations of ${\mathcal{I}}$-covering (1-${\mathcal{I}}$-covering) and compact mapping images of metric spaces. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2020.01.005 |
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