Some Topological Properties of Charming Spaces

被引：0
|
作者：
Li Xiao-ting [1 ]
Lin Fu-cai [1 ]
Lin Shou [2 ]
机构：
[1] School of Mathematics and Statistics, Minnan Normal University
[2] Institute of Mathematics, Ningde Teachers’ College
来源：
CommunicationsinMathematicalResearch | 2017年 / 33卷 / 02期
关键词：
charming space; (i; j)-structured space; Lindelf; Σ-space; Suslin number; rectifiable space;
D O I：
10.13447/j.1674-5647.2017.02.02
中图分类号：
O189.11 [拓扑空间（空间拓扑）];
学科分类号：
070104 ;
摘要：
In this paper, we mainly discuss the class of charming spaces. First, we show that there exists a charming space such that the Tychonoff product is not a charming space. Then we discuss some properties of charming spaces and give some characterizations of some class of charming spaces. Finally, we show that the Suslin number of an arbitrary charming rectifiable space is countable.
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页码：110 / 120
页数：11
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