Volume 33, Issue 2
Some Topological Properties of Charming Spaces

Commun. Math. Res., 33 (2017), pp. 110-120.

Published online: 2019-11

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• Abstract

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.

• Keywords

charming space, ($i,j$)-structured space, Lindelöf Σ-space, Suslin number, rectifiable space

54E20, 54E35, 54H11, 22A05

985513859@qq.com (Xiaoting Li)

linfucai@mnnu.edu.cn (Fucai Lin)

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@Article{CMR-33-110, author = {Xiaoting and Li and 985513859@qq.com and 5454 and School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian, 363000 and Xiaoting Li and Fucai and Lin and linfucai@mnnu.edu.cn and 5464 and School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian, 363000 and Fucai Lin and Shou and Lin and and 5456 and Institute of Mathematics, Ningde Teachers’ College, Ningde, Fujian, 352100 and Shou Lin}, title = {Some Topological Properties of Charming Spaces}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {33}, number = {2}, pages = {110--120}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2017.02.02}, url = {http://global-sci.org/intro/article_detail/cmr/13390.html} }
TY - JOUR T1 - Some Topological Properties of Charming Spaces AU - Li , Xiaoting AU - Lin , Fucai AU - Lin , Shou JO - Communications in Mathematical Research VL - 2 SP - 110 EP - 120 PY - 2019 DA - 2019/11 SN - 33 DO - http://doi.org/10.13447/j.1674-5647.2017.02.02 UR - https://global-sci.org/intro/article_detail/cmr/13390.html KW - charming space, ($i,j$)-structured space, Lindelöf Σ-space, Suslin number, rectifiable space AB -

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.

Xiao-ting Li, Fu-cai Lin & Shou Lin. (2019). Some Topological Properties of Charming Spaces. Communications in Mathematical Research . 33 (2). 110-120. doi:10.13447/j.1674-5647.2017.02.02
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