Countability of Soft Topological Space
Li Fu *
School of Mathematics and Statistics, Qinghai Nationalities university Xining, Qinghai 810000, P.R. China.
Shujing Li
School of Mathematics and Statistics, Qinghai Nationalities university Xining, Qinghai 810000, P.R. China.
*Author to whom correspondence should be addressed.
Abstract
Based on the soft formal analysis, in this article, the countability of soft topological space is studied. The soft neighborhoods basis of soft points is dened in the soft topology, and the properties of soft basis and soft neighborhoods basis are given. The countable axioms are dened in the soft topological space over the soft formal context, the examples are illustrated for the first countable axioms and the second countable axioms. The properties of the countable axioms are studied, and all the results can be implied to the soft rough topological space.
Keywords: soft set, soft formal analysis, soft topology, soft neighborhoods, soft basis, countable axioms