O-C TOPOLOGY AND SIERPINSKI SPACE

Abstract

In this paper we choose a different approach and propose a generalization of Sierpinskispace by defining a topology analogous to Sierpinski topology with the generalcollection which is form a topology on a non empty set  ,and the definition of K.Khan [5] will be only special case , so the ( O-C topology) is introduced . Weinvestigate some of the general topological characterization of it , and this has a veryinteresting applications especially the Sierpinskispace whichisresult from the finite setwhich containing only two points .