Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, Tamilnadu, India
*Emails: geetha.maths.avi@gmail.com
Online published on 6 March, 2017.
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
g-closed set, β-closed set, βg*-closed set, #gs-closed set and βsg*-closed set
