The class of ω-closed subsets of a space (X ,τ) was defined to introduce ω-closed functions. The aim of this paper is to introduce and study the class of gω-closed sets. This class of sets is finer than g-closed sets and ω-closed sets. We study the fundamental properties of this class of sets. In the space (X ,τω), the concepts closed set, g-closed set, and gω-closed set coincide. Further, we i...

Recommended by Lokenath Debnath In 1982 and 1970, Hdeib and Levine introduced the notions of ω-closed set and generalized closed set, respectively. The aim of this paper is to provide a relatively new notion of generalized closed set, namely, regular generalized ω-closed, regular generalized ω-continuous, a-ω-continuous, and regular generalized ω-irresolute maps and to study its fundamental pro...

A new class of functions, called Intuitionistic fuzzy π-generalized π-closed set is introduced. Basic properties of Intuitionistic fuzzy π-generalized π-closed set are studied. MSC: 68T27 • 68T37