nc Open- Sets in Topological Space

Abstract

        Type of  sets that we will introduce in this research, called nc-open set and present its properties which represent the topological properties of this type . More precisely, we post the sets with each of these properties . At the first ,    we present the definition of  the property and then an illustrative example of  this definition . Mean while , we move to the theorems with their proofs and give a counter example to the case that the opposite of the some theorems are not achieved .

 Keywords : n-open, n-closed, nc-open,  nc-closed,