SOFT SEPARATION AXIOMS IN SOFT SINGLE POINT SPACES AND IN SOFT ORDINARY SPACES

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Published: 2018-02-20

Page: 175-192


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


How to Cite

KHATTAK, A. M., ZAIGHUM, A., KHAN, G. A., AHMED, I., SAFEER, M., & KHAN, S. (2018). SOFT SEPARATION AXIOMS IN SOFT SINGLE POINT SPACES AND IN SOFT ORDINARY SPACES. Asian Journal of Mathematics and Computer Research, 23(3), 175–192. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/920

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