APPLICATIONS ON OPERATIONS ON WEAKLY COMPACT GENERALIZED TOPOLOGICAL SPACES

In this paper, we have introduced the notion of operations on a generalized topological space (X, mu) to investigate the notion of gamma(mu)-compact subsets of a generalized topological space and to study some of its properties. It is also shown that, under some conditions, gamma(mu)-compactness of a space is equivalent to some other weak forms of compactness. Characterizations of such sets are given. We have then introduced the concept of gamma(mu)-T-2 spaces to study some properties of gamma(mu)-compact spaces. This operation enables us to unify different results due to S. Kasahara.