Unification of generalized open sets on topological spaces
- First Online:
- Cite this article as:
- Noiri, T. & Roy, B. Acta Math Hung (2011) 130: 349. doi:10.1007/s10474-010-0010-1
A new kind of sets called generalized μ-closed (briefly gμ-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 gμ-closed sets is strictly larger than the class of all μ-closed sets. Furthermore, g-closed sets (in the sense of N. Levine ) is a special type of gμ-closed sets in a topological space. Some of their properties are investigated. Finally, some characterizations of μg-regular and μg-normal spaces have been given.