جۆری توێژینه‌وه‌ : Original Article

نوسه‌ران

1 Department of Mathematics Yazd University, Yazd, Iran

2 Mathematics Department, College of Education, University of Garmian, Kurdistan- Region, Iraq

پوخته‌

In this paper, we defined -open set by using s-operation and -closed set, then by using -open set, we define -closed set. In addition  we define -closure of subset  of  ( )  and -interior of  subset  of    by using -closed set and -open set respectively. Furthermore  we introduce and discuss minimal -open sets in topological spaces. We establish some basic properties of minimal -open. We obtain an application of a theory of minimal -open sets and define a -locally finite space then we prove, Let be a -locally finite space and  a nonempty -open set. Then there exists at least one (finite) minimal -open set such that  where  is semi-regular.

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