Some operators in soft primal spaces

Author:

Al-Omari Ahmad1,Alqahtani Mesfer H.2

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Al al-Bayt University, Mafraq 25113, Jordan

2. Department of Mathematics, University College of Umluj, University of Tabuk, Tabuk 48322, Saudi Arabia

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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