On − Spaces and Weaker Forms of −Spaces

Abstract

In this paper,the aim was to introduce new concepts of spaces, which is named

????( ????????) −spaces ( every ???? − ????ompa????t subsets are ????losed) was presented and the

properties of these spaces were studied. also investigating their relationship with

some other topological spaces. Also defined Weaker Forms of ????( ????????) −spaces and

found the relations, theorems, and results stemming from this definition.

Additionally, defined Co−???? − ????ompa????t topologies and derived related theorems

and results based on this definition. Finally, we have continuing studies on the

following topological space,???????? − spaces , ????(????????) − spaces and ????????(????????) − spaces