2022/08/27 by Acharjee, Santanu, Özkoç, Murad, Issaka, Faical Yacine
#54A05 #54B99 #94A60 #FOS: Mathematics #General Mathematics (math.GM) #General Topology (math.GN)
paper · doi:10.48550/arxiv.2209.12676
The purpose of this paper is to introduce a new structure `primal'. Primal is dual to grill. Like ideal, dual of filter, this new structure also generates a new topology named `primal topology'. We introduce a new operator using primal, which satisfies Kuratowski's closure axioms. Mainly, we prove that primal topology is finer than the topology of a primal topological space. We provide structure of base of primal topology and prove other fundamental results related to this new structure.