2022-03

New Trends in Mathematical Sciences (Issue : 1) (Volume : 10)

In this paper, we study different properties of δ∗-semiopen set. We define the concept of δ∗-semi generalized closed sets and present some characteristics. In addition, as applications to δ∗-semi generalized closed set, we introduce δ∗-semi T1/2 space and obtain some of their basic properties. Moreover, we defined the notions of δ∗-semi symmetric space, δ∗-semi difference sets and δ∗-semi kernel of sets, and investigate some of their fundamental properties. At the latest, some new types of spaces are introduced and the relationships of these spaces are studied

2021-04

Advances in Mathematics: Scientific Journal (Volume : 10)

The purpose of this paper is to define and study a new class of set called T*-B-closed sets, and investigating the characteristics of T*-B-closed set. Furthermore, the new type of continuous function is introduce and find some of its basic properties.