Abstract:
In this paper we introduce and study a new class of generalised closed sets called δ(δg*)-closed sets in topological spaces using δg-closed sets. Moreover we analyse the relations between δ(δg)*-closed sets and already existing various closed sets. It is independent of δg-closed sets and weaker than δg*-closed sets. The class of δ(δg)*-closed sets is properly placed between the classes of δg*-closed sets and δg# -closed sets and a chain of relations is proved as follows.
r-closed → π-closed → δ-closed → δg*-closed → δ(δg)*-closed → δg#-closed → gδ-closed
Keywords: g-closed sets, δg-closed sets, δg*-closed sets and δ(δg)*-closed sets.