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, \tau) with a closed point p of its points. Using  a grill \mathcal{G}  on the space (X, \tau) and  the closure operator  associated with \tau, 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.

کلیدواژه ها:

Kuratowski closure operator ، Grill ، Coarster topology ، Extension topology ، One-point extension topology