Other separation axioms in soft bi-topological space

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Authors :

Arif Mehmood Khattak 1 *, Fawad Nadeem 2 , Muhammad Zamir 3 , Giorgio Nordo 4 , Choonkil Park 5 , Mehak Gul 6

Author Address :

1 Department of Mathematics and Statistics, Riphah International University, Sector I 14, Islamabad, Pakistan.
2,3,6 Department of Mathematics, University of Science and Technology, Bannu Khyber Pakhtunkhwa, Pakistan.
4 MIFT-Dipartimento di Dcienze Matematiche e Informatiche Scienze Fisiche e scienze della Terra, Messina University, Messina, Italy.
5 Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Republic of korea.

*Corresponding author.

Abstract :

The main objective of this article is to introduce soft generalized separation axioms in soft bi topological spaces relative to crisp points and soft points. Further we will address the behavior of soft semi $T_3$ and soft normal semi $T_4$ spaces at different angles with respect to ordinary points as well as with respect to soft points. Hereditary properties are also discussed.

Keywords :

Soft sets, soft points,soft topology,soft bi topological space,soft semi open set, soft semi $T_i$ spaces(i=1,2,3,4), soft semi regular and soft semi normal spaces.

DOI :

10.26637/MJM0704/0017

Article Info :

Received : May 03, 2019; Accepted : October 14, 2019.