Some operators in soft primal spaces

Abstract

The concept of operators in topological spaces occupies a very important place. For this reason, a great deal of work and many results were presented via operators. Herein, we defined a primal local soft closure operator $ \Lambda(\cdot) $ using the concept of soft topology and soft primal and reconnoitered its basic characteristics. Then, we found several fundamental results about the behavior of the primal soft closure operator $ \lambda{(\cdot)} $ with the help of $ \Lambda(\cdot). $ Among other obtained results, we introduced a new topology induced by the primal soft closure operator. At last, we defined primal soft suitable spaces and gave some equivalent descriptions of it.

Keywords

• primal space
• soft open
• soft local operator
• soft primal
• soft primal suitable spaces