| 关于${\cal I}$-覆盖映射与1-${\cal I}$-覆盖映射 |
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| 引用本文： | 周先耕,刘丽.关于${\cal I}$-覆盖映射与1-${\cal I}$-覆盖映射[J].数学研究及应用,2020,40(1):47-56. |
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| 作者姓名： | 周先耕 刘丽 |
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| 作者单位： | 宁德师范学院 福建 宁德 352100,宁德师范学院 福建 宁德 352100 |
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| 基金项目： | 国家自然科学基金(Grant No.11801254), 宁德师范学院基金(Grant No.2017T01). |
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| 摘 要： | In this paper,we introduce the concepts of I-covering mappings and 1-I-covering mappings,discuss the difference between sequence-covering and I-covering mappings by some examples.With those concepts,we get some interesting properties of I-covering(1-I-covering)mappings and some characterizations of I-covering(1-I-covering)and compact mapping images of metric spaces.
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| 关 键 词： | ideal convergence Z-covering mappings 1-Z-covering mappings compact mappings |
| 收稿时间： | 2018/12/21 0:00:00 |
| 修稿时间： | 2019/4/11 0:00:00 |
On ${\mathcal{I}}$-Covering Mappings and 1-${\mathcal{I}}$-Covering Mappings |
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| Xiangeng ZHOU and Li LIU.On ${\mathcal{I}}$-Covering Mappings and 1-${\mathcal{I}}$-Covering Mappings[J].Journal of Mathematical Research with Applications,2020,40(1):47-56. |
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| Authors: | Xiangeng ZHOU and Li LIU |
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| Institution: | Ningde Normal University, Fujian 352100, P. R. China and Ningde Normal University, Fujian 352100, P. R. China |
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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. |
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| Keywords: | ideal convergence ${\mathcal{I}}$-covering mappings 1-${\mathcal{I}}$-covering mappings compact mappings |
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