On soft p c-separation axioms

Abstract

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=0,1,2 by 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.

Keywords

• soft p c-open set
• soft p c − t i spaces i = 0, 1, 2, p c − t i *
• spaces i = 0, 1, 2
• 54a05
• 54a10
• 54c05