A New Weaker Form of δ-Closed Set in Topological Spaces

In this paper a new class of generalized closed sets called δsg^*-closed sets in topological spaces using g-closed sets are introduced and studied. Moreover the relations between δsg^*-closed sets and already existing various closed sets are analysed. δsg^*-closed set is independent of g-closed set and weaker than δg^*-closed set. The class of δsg^*-closed sets is properly placed between the classes of δg^*-closed sets and ^#gs-closed sets and a chain of relations is proved as follows.
δ-closed→δg^*-closed→δsg^*-closed→^#gs-closed→gs-closed