@article{ÖZKOÇ2024, 
author = {Murad ÖZKOÇ and Büşra KÖSTEL},
title = {On the topology        τ    R          ⋄       of primal topological spaces},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {17171-17183},
keywords = {primal, primal topological space, Kuratowski closure operator, the operator (⋅)R⋄, the operator clR⋄},
url = {https://www.sciopen.com/article/10.3934/math.2024834},
doi = {10.3934/math.2024834},
abstract = {The main purpose of this paper is to introduce and study two new operators    (  ⋅      )    R          ⋄       and    c      l    R          ⋄        (  ⋅  ) via primal, which is a new notion. We show that the operator    c      l    R          ⋄        (  ⋅  ) is a Kuratowski closure operator, while the operator    (  ⋅      )    R          ⋄       is not. In addition, we prove that the topology on    X, shown as        τ    R          ⋄        , obtained by means of the operator    c      l    R          ⋄        (  ⋅  )  , is finer than        τ          δ        , where        τ          δ       is the family of    δ-open subsets of a space    (  X  ,  τ  )  . Moreover, we not only obtain a base for the topology        τ    R          ⋄       but also prove many fundamental results concerning this new structure. Furthermore, we provide many counterexamples related to our results.}
}