Affiliations:
College of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, The People’s Republic of China
Correspondence:
[*]
Corresponding author. Xuechong Guan, College of Mathematics and Statistics, Jiangsu Normal University, 221116, Xuzhou, The People’s Republic of China. E-mail: [email protected].
Note: [1] This work is supported by National Science Foundation of China (Grant No.12071188).
Abstract: Soft separation axioms and their properties are popular topic in the research of soft topological spaces. Two types of separation axioms Ti-I and Ti-II (i = 0, 1, ⋯ , 4) which take single point soft sets and soft points as separated objects have been given in [18] and [30] respectively. In this paper we show that a soft T0-II(T1-II, T2-II, and T4-II respectively) space is a soft T0-I(T1-I, T2-I, and T4-I respectively) space, if the initial universe set X and the parameter set E are sets of two elements. Some examples are given to explain that a soft Ti-I may not to be a soft Ti-II space (i = 0, 1, ⋯ , 4).
Keywords: Soft set, soft topological space, single point soft set, soft point, separation axiom
