Primal Topological Spaces
General Mathematics
2022-09-27 v1 General Topology
Abstract
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.
Keywords
Cite
@article{arxiv.2209.12676,
title = {Primal Topological Spaces},
author = {Santanu Acharjee and Murad Özkoç and Faical Yacine Issaka},
journal= {arXiv preprint arXiv:2209.12676},
year = {2022}
}