On minimal sets and strictly weaker topologies

Author

1 Math. Dept., Faculty of Science, Assiut University, Assiut 71516, Egypt

2 Math. Dept., College of Science and Arts in Unaizah, Qassim University, Qassim 10363, Saudi Arabia

Abstract

In [1,2] Farrag characterized the stirictly weaker principal topologies than any given principal topology on a nonempty set by using the minimal open sets which are defined by Steiner [3]. This paper mainly generalizes this result by using the minimal sets, which are defined in the paper with respect to the given topology s on a nonempty set.