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In this paper, we have introduced the notion of operations on a generalized topological space (X, μ) to investigate the notion of γμ-compact subsets of a generalized topological space and to study some of its properties. It is also shown that, under some conditions, γμ-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 γμ -T2 spaces to study some properties of γμ -compact spaces. This operation enables us to unify different results due to S. Kasahara.

Applications on operations on weakly compact generalized topological spaces