Primal Topological Spaces

The purpose of this paper is to introduce a new structure called primal. Primal is the dual structure of grill. Like ideal, the dual of filter, this new structure also generates a new topology named primal topology. We introduce a new operator using primal, which satisfies Kuratowski closure axioms. Mainly, we prove that primal topology is finer than the topology of a primal topological space. Also, we provide the structure of the base of primal topology and prove other fundamental results related to this new structure. Furthermore, we not only discuss some of this new structure's properties but also enrich it with many examples.