On minimal $gamma$-open sets

Abstract

In this paper, we introduce and discuss minimal$gamma$-open sets in topological spaces. We establish some basic properties of minimal$gamma$-open sets and provide an example to illustrate that minimal $gamma$-open sets are independent of minimal open sets introduced and discussed in[3]. We obtain some properties of pre$gamma$-open sets using properties of minimal$gamma$-open sets. As an application of a theory of minimal$gamma$-open sets, we obtain a sufficient condition for a$gamma$-locally finite space to be a pre-T2 space.