The aim of this paper is to introduce and study the class of $g\omega \beta$-closed sets. This class of sets is finer than $g$-closed sets and $\omega \beta- $closed sets. We study the fundamental properties of this class of sets. Further, we introduce and study $g\omega \beta$-open sets, $g\omega \beta$-neighborhoodsets, $g\omega \beta$-continuous functions, $g\omega \beta$-irresolute functions and $g\omega \beta$-closed functions.
H. H. Aljarrah. M. S. M. Noorani. T. Noiri. "On Generalized $\omega \beta$-Closed Sets." Missouri J. Math. Sci. 26 (1) 70 - 87, May 2014. https://doi.org/10.35834/mjms/1404997111