Binary D- Separation Axioms in Binary Topological Spaces

Amer Khrija

doi:https://doi.org/10.54216/GJMSA.090206

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Volume 9 • Issue 2 • PP: 49-55 • 2023

Binary D- Separation Axioms in Binary Topological Spaces

Amer Khrija Abed ^1*

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¹Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, 66001, Iraq

* Corresponding Author.

DOI https://doi.org/10.54216/GJMSA.090206

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Received: June 29, 2023 Revised: September 25, 2023 Accepted: December 17, 2023

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Abstract

In this work the author introduces new separation axioms and Studies of its basic characteristics. In addition, he studied to the implication of these new separation axioms among themselves and with the well- known separation axiom sbinray − T0 , binray − T1and binray − T2 are obtained previously. Finally, we explore some results implementing , binary continuous , binary contra continuous based on our defined definitions.

Keywords

binary &minus D &minus set binray &minus T0 binray &minus T1 binray &minus T2 binray &minus D0 binray &minus D1 binray &minus D2

References

[1] J. Tong, "A separation axiom between T₀ and T_I", Ann. Soc. Sci. 13ruxelles 96 (1982), 85-90.

[2] S.N. Jothi, P. Thangavelu, Topology between two sets, J. Math. Sci. Computer Appl. 1(3) (2011), 95-107.

[3] S.N. Jothi, P. Thangavelu, On binary continuity and separation axioms, Ultra Sci. 24 (2012), 121-126.

[4] S.N. Jothi, Contribution to Binary Topological Spaces, Ph.D. Thesis, Manonmaniam Sundaranar University,Tirunelveli, 2012.

S.N. Jothi, Binary semi open sets in binary topological spaces, Int. J. Math. Arch. 7 (2016), 73-76.

[6] S.N. Jothi, Binary Contra Continuous and Binary Contra Semi Continuous Functions in Binary Topological Spaces, Int. J,of Math. Trends and Tec. , Vo. 68 Issue 3, 90-93, 2022 .

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Abed, Amer Khrija. "Binary D- Separation Axioms in Binary Topological Spaces." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 9, no. Issue 2, 2023, pp. 49-55. DOI: https://doi.org/10.54216/GJMSA.090206

Abed, A. (2023). Binary D- Separation Axioms in Binary Topological Spaces. Galoitica: Journal of Mathematical Structures and Applications, Volume 9(Issue 2), 49-55. DOI: https://doi.org/10.54216/GJMSA.090206

Abed, Amer Khrija. "Binary D- Separation Axioms in Binary Topological Spaces." Galoitica: Journal of Mathematical Structures and Applications Volume 9, no. Issue 2 (2023): 49-55. DOI: https://doi.org/10.54216/GJMSA.090206

Abed, A. (2023) 'Binary D- Separation Axioms in Binary Topological Spaces', Galoitica: Journal of Mathematical Structures and Applications, Volume 9(Issue 2), pp. 49-55. DOI: https://doi.org/10.54216/GJMSA.090206

Abed A. Binary D- Separation Axioms in Binary Topological Spaces. Galoitica: Journal of Mathematical Structures and Applications. 2023;Volume 9(Issue 2):49-55. DOI: https://doi.org/10.54216/GJMSA.090206

A. Abed, "Binary D- Separation Axioms in Binary Topological Spaces," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 9, no. Issue 2, pp. 49-55, 2023. DOI: https://doi.org/10.54216/GJMSA.090206

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