O-C TOPOLOGY AND SIERPINSKI SPACE

Abstract

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