SOFT SEPARATION AXIOMS IN SOFT SINGLE POINT SPACES AND IN SOFT ORDINARY SPACES
ARIF MEHMOOD KHATTAK *
Department of Mathematics and Statistics, Riphah International University, Sector I-14, Islamabad, Pakistan.
ASAD ZAIGHUM
Department of Mathematics and Statistics, Riphah International University, Sector I-14, Islamabad, Pakistan.
GULZAR ALI KHAN
Department of Mathematics, Qurtuba University of Science and Information Technology, Hayatabad, Peshawar, Pakistan.
ISHFAQ AHMED
Department of Mathematics, Qurtuba University of Science and Information Technology, Hayatabad, Peshawar, Pakistan.
MUHAMMAD SAFEER
Department of Mathematics, Qurtuba University of Science and Information Technology, Hayatabad, Peshawar, Pakistan.
SALMAN KHAN
Department of Mathematics, Qurtuba University of Science and Information Technology, Hayatabad, Peshawar, Pakistan.
*Author to whom correspondence should be addressed.
Abstract
The main aim of this article is to introduce soft b separations axioms, soft S-separations axioms in soft single point topology. We discuss soft b
separation axioms and soft semi
separation axioms in soft topological spaces with respect to ordinary points and soft points. In addition to this study the genetic belongings at different angles with respect to ordinary points as well as with respect to soft points. Some of their fundamental properties in soft single point topological spaces are also reflected.
Keywords: Soft sets, soft points, soft b open set, soft b closed set, semi open set, semi closed set, soft topological space, soft single point topology, soft b separation axioms and soft semi-separation axioms