Weak Soft Open Sets in Soft Bi Topological Spaces

Authors

  • Arif Mehmood Khattak Riphah international university islamabad, pakistan
  • Muhammad Zaighum Riphah International University,Islamabad
  • Saleem Abdullah Department of Mathematics, Abdul Wali Khan University Mardan, Pakistan
  • Shamoona Jabeen School of Mathematics and System Sciences, Beihang University Beijing, China

DOI:

https://doi.org/10.30495/jme.v14i0.1000

Keywords:

Soft sets, soft topology, soft weak open Soft weak separation axioms in soft bi-topological spaces.

Abstract

The key aim of this article is to familiarize some basic results in soft bi topological spaces. The idea of soft Limit Point in soft bi topological space is introduced and related results are also discussed with respect to ordinary and soft points. Soft interior point in soft bi topological space and related results with respect to ordinary and soft points are also studied. The relation between soft   space and Soft   -Closures is discussed in soft topological space with respect to soft -open set. Also the same relation is discussed with respect to soft -open and set P-open sets. Soft neighborhood in soft bi topological space is defined and related results are studied. Soft sequences uniqueness of limit in soft  -Hausdorff space and soft  -Hausdorff space is studied. The product of soft Hausdorff spaces with respect to soft points in different soft weak open sets are also discussed. The marriage between Soft Hausdorff space and the diagonal is also planted here.

Author Biographies

Arif Mehmood Khattak, Riphah international university islamabad, pakistan

Lecturer ,department of maths and statistics

Muhammad Zaighum, Riphah International University,Islamabad

Professor ,department of maths and statistics

Saleem Abdullah, Department of Mathematics, Abdul Wali Khan University Mardan, Pakistan

Professor,Department of Mathematics, Abdul Wali Khan University Mardan, Pakistan

Shamoona Jabeen, School of Mathematics and System Sciences, Beihang University Beijing, China

lectrer,School of Mathematics and System Sciences, Beihang University Beijing, China

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Published

2019-04-10

Issue

Section

Vol. 14, No. 1, (2020)