A New Operator of Primal Topological Spaces

TL;DR

This paper introduces a new operator based on primal structures in topology, explores its properties, and defines a compatible topology, advancing the understanding of primal topological spaces.

Contribution

It proposes a novel operator using primal structures, characterizes a new topology, and investigates its fundamental properties in primal topological spaces.

Findings

Defined a new primal-based operator in topology

Characterized a topology suitable for primal structures

Explored fundamental properties of the new topology

Abstract

Recently, Acharjee et al. [S. Acharjee, M. \"Ozko\c{c} and F. Y. Issaka, Primal topological spaces, arXiv:2209.12676[math.GM]] introduced a new structure in topology named primal. Primal is the duel structure of grill. The main purpose of this paper is to introduce an operator using primal and obtain some of its fundamental properties. Also, we define the notion of topology suitable for a primal. We not only obtain some characterizations of this new notion, but also investigate many properties.