Abstract

We consider a collection of subsets of a set X defined in terms of a function on (X); called the γ-open sets, which is not a topology but we show that some of the results established for topologies are valid for this collection. In particular, we define δγ-open sets in a γ-space and characterize its properties. Also, we discuss the properties of γ-rare sets and characterize δγ-open sets in terms of γ-rare sets.

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