Soft semi separation axioms and some types of soft functions

Shabir and Naz in [25] introduced the notion of soft topological spaces. They defined basic notions of soft topological spaces such as open soft sets, closed soft sets, soft subspaces, soft closure, soft nbd of a soft point, soft separation axioms, soft regular spaces, soft normal spaces and they established their several properties. Min in [19] investigated some properties of such soft separation axioms. In the present paper, we have continued to study the properties of soft topological spaces. We introduce new soft separation axioms based on the semi open soft sets which are more general than of the open soft sets. We show that the properties of soft semi Ti-spaces (i = 1, 2) are soft topological properties under the bijection and irresolute open soft mapping. Also, the property of being soft semi regular and soft semi normal are soft topological properties under bijection, irresolute soft and irresolute open soft functions. Further, we show that the properties of being soft semi Ti-spaces (i = 1, 2, 3, 4) are hereditary properties. 2010 AMS Classification: 06D72, 54A40