TY - JOUR
T1 - The Role of Soft θ-Topological Operators in Characterizing Various Soft Separation Axioms
AU - Ameen, Zanyar A.
AU - Al-Shami, Tareq M.
AU - Mhemdi, Abdelwaheb
AU - El-Shafei, Mohammed E.
N1 - Publisher Copyright:
© 2022 Zanyar A. Ameen et al.
PY - 2022
Y1 - 2022
N2 - This manuscript begins with an introduction to a soft θ-kernel operator. Then, the main properties and connections of this soft topological operator with other known soft topological operators are examined. We show that soft θ-kernel operator is weaker than soft kernel operator but stronger than soft θ-closure. Both soft θ-closure and soft θ-kernel operators are equivalent on soft compact sets. Furthermore, the stated operators are utilized to obtain several new characterizations of soft Ri-topologies and soft Tj-topologies, for i=0,1 and j=0,1,2.
AB - This manuscript begins with an introduction to a soft θ-kernel operator. Then, the main properties and connections of this soft topological operator with other known soft topological operators are examined. We show that soft θ-kernel operator is weaker than soft kernel operator but stronger than soft θ-closure. Both soft θ-closure and soft θ-kernel operators are equivalent on soft compact sets. Furthermore, the stated operators are utilized to obtain several new characterizations of soft Ri-topologies and soft Tj-topologies, for i=0,1 and j=0,1,2.
UR - https://www.scopus.com/pages/publications/85134744913
U2 - 10.1155/2022/9073944
DO - 10.1155/2022/9073944
M3 - Article
AN - SCOPUS:85134744913
SN - 2314-4629
VL - 2022
JO - Journal of Mathematics
JF - Journal of Mathematics
M1 - 9073944
ER -