gr-compactness in topological spaces

Abstract

In this paper, we introduce the new concepts gr-compactness in topological spaces and obtain some of their properties using gr-closed sets.

gr-connectedness in Topological Spaces

“…Data structure is important in the applications on the computer which relates real topological situation. Connectedness and compactness were studied by Whyburn G. T [2], considering the assumption of Hausdorff.The basic properties of connectedness had been discussed through many researchers [3][4][5][6][7][8][9][10][11][12]. Mathematicians are motivated through the notions of connectedness to extend the existing concepts.…”