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.