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Some Topological Properties of Charming Spaces

Some Topological Properties of Charming Spaces
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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. 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.
出处 《Communications in Mathematical Research》 CSCD 2017年第2期110-120,共11页 数学研究通讯(英文版)
基金 The NSF(11571158,11471153 and 11201414) of China the NSF(2017J01405,2016J05014,2016J01671 and 2016J01672) of Fujian Province of China
关键词 charming space (i j)-structured space Lindelf Σ-space Suslin number rectifiable space charming space (i,j)-structured space Lindelf Σ-space Suslin number rectifiable space
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