ABSTRACT

In this chapter, the author examines the role of semi closure operator in semi regularization spaces and investigates s-closedness. In 1978, topological properties simultaneously shared by both a space and its semiregularization space were called semi regular properties. Then in 1985, topological properties simultaneously shared by both the space and the semiregularization space were called feeble properties and were shown to be equivalent to the semi topological perperties. In 1972, semi homeomorphis were defined by replacing open in the definition of homeomorphis by semi open and properties preserved by semi homeomorphis were called semi topological properties. In the introductory 1987 paper, subsets s-closed relative to a space were introduced and investigated.