, Volume 130, Issue 4, pp 349-357

Unification of generalized open sets on topological spaces

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Abstract

A new kind of sets called generalized μ-closed (briefly g μ-closed) sets are introduced and studied in a topological space by using the concept of generalized open sets introduced by Á. Császár. The class of all g μ-closed sets is strictly larger than the class of all μ-closed sets. Furthermore, g-closed sets (in the sense of N. Levine [17]) is a special type of g μ-closed sets in a topological space. Some of their properties are investigated. Finally, some characterizations of μ g -regular and μ g -normal spaces have been given.

The author acknowledges the financial support from UGC, New Delhi.