On the topology via kernel sets and primal spaces

Abstract

In this study, we present an extension of the idea of a set's kernel in topological spaces endowed with primal, which is a crucial tool for obtaining novel modifications of closed and open sets.
Using this generalized kernel, we derive additional low separation axioms in different contexts and a new topology that is incomparable to the previous topology, which is produced from a topological space endowed with primal.