Some Topological Properties of Charming Spaces

Authors

  • Xiaoting Li School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian, 363000
  • Fucai Lin School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian, 363000
  • Shou Lin Institute of Mathematics, Ningde Teachers’ College, Ningde, Fujian, 352100

DOI:

https://doi.org/10.13447/j.1674-5647.2017.02.02

Keywords:

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

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.

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Published

2019-12-16

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Issue

Vol. 33 No. 2 (2017)

Section

Articles

How to Cite

Some Topological Properties of Charming Spaces. (2019). Communications in Mathematical Research, 33(2), 110-120. https://doi.org/10.13447/j.1674-5647.2017.02.02