The concepts of κμ-open set and enlargement κ of a generalized topology μ were introduced by Császár [5]. In this paper, we introduce the concept of weak κμ-open sets induced by an enlargement κ of a generalized topology μ, and study some basic properties. We also introduce the concept of κ-regular open sets, and investigate the characterizations of weak κμ-open sets in terms of κ-regular open sets.
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