On soft pc-separation axioms

Autor: Hamko, Qumri H., Ahmed, Nehmat K., Khalaf, Alias B.
Zdroj: Demonstratio Mathematica; April 2020, Vol. 53 Issue: 1 p67-79, 13p
Abstrakt: Many mathematicians defined and studied soft separation axioms and soft continuity in soft spaces by using ordinary points of a topological space X. Also, some of them studied the same concepts by using soft points. In this paper, we introduce the concepts of soft pc−Ti{p}_{c}-{T}_{i}and soft pc−Ti⁎{p}_{c}-{T}_{i}^{\ast }, i=0,1,2i=0,1,2by using the concept of soft pc{p}_{c}-open sets in soft topological spaces. We explore several properties of such spaces. We also investigate the relationship among these spaces and provide a counter example when it is needed.
Databáze: Supplemental Index