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Applied Mathematics-A Journal of Chinese Universities  2019, Vol. 34 Issue (2): 149-    DOI: 10.1007/s11766-019-3557-7
    
The closed finite-to-one mappings and their applications
YANG Jie, LIN Shou
1 School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian 363000,China.
2 Department of Mathematics, Ningde Normal University, Ningde, Fujian 352100, China.
The closed finite-to-one mappings and their applications
YANG Jie, LIN Shou
1 School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian 363000,China.
2 Department of Mathematics, Ningde Normal University, Ningde, Fujian 352100, China.
 全文: PDF 
摘要： In this paper, we discuss the closed finite-to-one mapping theorems on generalized
metric spaces and their applications. It is proved that point-G properties, @0-snf-countability
and csf-countability are invariants and inverse invariants under closed finite-to-one mappings.
By the relationships between the weak first-countabilities, we obtain the closed finite-to-one
mapping theorems of weak quasi-first-countability, quasi-first-countability, snf-countability, gf-
countability and sof-countability. Furthermore, these results are applied to the study of symmetric
products of topological spaces.
关键词： finite-to-one mappings;  closed mappings;  weak rst-countability;  sn-networks;  cs-networks;  symmetric products    
Abstract: In this paper, we discuss the closed finite-to-one mapping theorems on generalized
metric spaces and their applications. It is proved that point-G properties, @0-snf-countability
and csf-countability are invariants and inverse invariants under closed finite-to-one mappings.
By the relationships between the weak first-countabilities, we obtain the closed finite-to-one
mapping theorems of weak quasi-first-countability, quasi-first-countability, snf-countability, gf-
countability and sof-countability. Furthermore, these results are applied to the study of symmetric
products of topological spaces.
Key words: finite-to-one mappings    closed mappings    weak rst-countability    sn-networks    cs-networks    symmetric products
出版日期: 2019-07-02
CLC:  54B05  
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引用本文:

YANG Jie, LIN Shou. The closed finite-to-one mappings and their applications[J]. Applied Mathematics-A Journal of Chinese Universities, 2019, 34(2): 149-.

YANG Jie, LIN Shou. The closed finite-to-one mappings and their applications. Applied Mathematics-A Journal of Chinese Universities, 2019, 34(2): 149-.

链接本文:

http://www.zjujournals.com/amjcub/CN/10.1007/s11766-019-3557-7    或    http://www.zjujournals.com/amjcub/CN/Y2019/V34/I2/149

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