On ${\mathcal{I}}$-Covering Mappings and 1-${\mathcal{I}}$-Covering Mappings
Received:December 21, 2018  Revised:April 11, 2019
Key Word: ideal convergence   ${\mathcal{I}}$-covering mappings   1-${\mathcal{I}}$-covering mappings   compact mappings  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11801254) and the Ningde Normal University (Grant No.2017T01).
Author NameAffiliation
Xiangeng ZHOU Ningde Normal University, Fujian 352100, P. R. China 
Li LIU Ningde Normal University, Fujian 352100, P. R. China 
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      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.
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