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Title

Binary D- Separation Axioms in Binary Topological Spaces

  Amer Khrija Abed 1 *

1  Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, 66001, Iraq
    (amer.khrija@mu.edu.iq)


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

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

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 − D − set ; binray − T0 ; binray − T1; binray − T2; binray − D0 ; binray − D1 ; binray − D2

References :

[1] J. Tong, "A separation axiom between T0 and TI", 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 .


Cite this Article as :
Style #
MLA Amer Khrija Abed. "Binary D- Separation Axioms in Binary Topological Spaces." Galoitica: Journal of Mathematical Structures and Applications, Vol. 9, No. 2, 2023 ,PP. 49-55 (Doi   :  https://doi.org/10.54216/GJMSA.090206)
APA Amer Khrija Abed. (2023). Binary D- Separation Axioms in Binary Topological Spaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, 9 ( 2 ), 49-55 (Doi   :  https://doi.org/10.54216/GJMSA.090206)
Chicago Amer Khrija Abed. "Binary D- Separation Axioms in Binary Topological Spaces." Journal of Galoitica: Journal of Mathematical Structures and Applications, 9 no. 2 (2023): 49-55 (Doi   :  https://doi.org/10.54216/GJMSA.090206)
Harvard Amer Khrija Abed. (2023). Binary D- Separation Axioms in Binary Topological Spaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, 9 ( 2 ), 49-55 (Doi   :  https://doi.org/10.54216/GJMSA.090206)
Vancouver Amer Khrija Abed. Binary D- Separation Axioms in Binary Topological Spaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 9 ( 2 ): 49-55 (Doi   :  https://doi.org/10.54216/GJMSA.090206)
IEEE Amer Khrija Abed, Binary D- Separation Axioms in Binary Topological Spaces, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 9 , No. 2 , (2023) : 49-55 (Doi   :  https://doi.org/10.54216/GJMSA.090206)