Open AccessOn Some New Types of Separation Axioms Via δ ∗-semiopen Sets
Author(s) -
Suzan N. Dawood,
Hariwan Z. Ibrahim
Publication year - 2022
Publication title -
new trends in mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2147-5520
DOI - 10.20852/ntmsci.2022.472
Subject(s) - mathematics , separation axiom , set (abstract data type) , space (punctuation) , axiom , pure mathematics , kernel (algebra) , closed set , topological space , discrete mathematics , computer science , geometry , programming language , operating system
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 T_1/2 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 therelationships of these spaces are studied.