On Soft Strongly Ƅ*-Separation Axioms

Saif Z.  Hameed; Abdelaziz E.  Radwan; Essam  El-Seidy

doi:10.24996/ijs.2024.65.6.25

Authors

Saif Z. Hameed Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt https://orcid.org/0000-0001-6197-3525
Abdelaziz E. Radwan Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt
Essam El-Seidy Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt

DOI:

https://doi.org/10.24996/ijs.2024.65.6.25

Keywords:

soft strongly Ƅ^*-closed set, soft strongly Ƅ^*-open set, soft strongly Ƅ^*-T_i space, soft strongly Ƅ^*-regular, soft strongly Ƅ^*-normal

Abstract

In this paper, we study some new types of soft separation axioms called soft strongly Ƅ*-separation axioms. We show that, the properties of soft strongly Ƅ*-T_i space (i =0, 1,2) are soft topological properties under the bijection, soft irresolute and soft continuous mapping. Furthermore, the property of being soft strongly Ƅ*-regular and soft strongly Ƅ*-normal are soft topological properties under bijection, soft continuous functions. Moreover, their relationships with existing spaces are studied.