International Journal of Modern Science and Technology

INDEXED IN 

ISSN 2456-0235

​​​​​​​​​​​​​June 2018, Vol. 3, No. 6, pp 133-137. 

​​​Applications of Soft pre-open Sets to Soft W-Hausdorff Space in Soft Topological Spaces

A.M. Khattak¹,*, Z. A. Khattak², F. Jamal³, I. A. Khattak³, Z. U. Khattak⁴
¹Department of Mathematics and Statistics, Riphah International University, Sector I-14, Islamabad, Pakistan.
²Department of Mathematics, Bannu University of Sciences and Technology Bannu, Pakistan.
³Department of Mathematics, Qurtuba University of Science and Information Technology, Peshawar, Pakistan.
⁴Department of Mathematics, Hazara University, Mansehra, Pakistan.
​​*Corresponding author’s e-mail: mehdaniyal@gmail.com

Abstract

In the present article the notion of soft W-Hausdorf or soft W-T2 structure in soft topological spaces is proclaimed with respect to soft pre-open sets while using the ordinary points of Soft Topology. That’s why it is named as soft P-W-Hausdorf or soft P-W-T2 structure. Some sub-spaces of soft P-W- T2 structure are also reflected. Product of these spaces is also avail.

Keywords: Soft set; Soft P-open set; Soft P-closed set; Soft topological space; Soft P-W Hausdorf space.

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