An Approach to Change the Topology of a Topological Space

In this paper, we are going to introduce an approach to convert the topology of a topological space to another topology (in fact, a coarser topology). For this purpose, we consider a topological space (X, τ ) with a closed point p of its points. Using a grill G on the space (X, τ ) and the closure operator associated with τ , we define a Kuratowski closure operator cl∗ p on X to create the desired topology. We then characterize the form of this resulting topology and also determine its relationship to the initial topology of the space.