Keywords:-
Keywords:
binary closed, binary g*-closed set and strongly binary g*-closed set
Article Content:-
Abstract
In this paper, we introduce the concept of strongly binary g^⋆-closed sets in binary topological space and we investigate the group of structure of the set of all strongly binary g^⋆-closed sets.
References:-
References
1. D. Abinaya and M. Gilbert Rani, Bianry -generalized closed sets in binary topological spaces, Indian Journal of Natural Sciences, 14(77)(2023), 54089-54094.
2. Carlos Granados, On binary -open sets and binary - -open sets in binary topological spaces, South Asian Journal of Mathematics, 11(1)(2021), 1-11.
3. M. Gilber Rani and R. Premkumar, Properties of binary -closed sets in binary topological spaces, Journal of Education: Rabindra Bharati University, XXIV(1)(XII)(2022), 164-168.
4. A. Gnana Arockiam, M. Gilbert Rani and R. Premkumar, Binary Generalized Star Closed Set in Binary Topological Spaces, Indian Journal of Natural Sciences, 13(76)(2023), 52299-52309.
5. S.Jayalakshmi and A.Manonmani, Binary regular beta closed sets and Binary regular beta open sets in Binary topological spaces, The International Journal of Analytical and Experimental Modal Analysis, Vol 12(4)(2020), 494-497.
6. S.Jayalakshmi and A.Manonmani, Binary Pre Generalized Regular Beta Closed Sets in Binary Topological spaces, International Journal of Mathematics Trends and Technology, 66(7)(2020), 18-23.
7. N. Levine, Generalized Closed Sets in Topology, Rent. Circ. Mat. Palermo, 19(2)(1970), 89-96.
8. H. Maki, R. Devi, and K. Balachandran, Generalized -Closed Sets in Topology, Bull. Fukuoka Univ, Ed., Part (III)(42)(1993), 13-21.
9. H. Maki, R. Devi, and K. Balachandran, Associate Topologies of Generalized -Closed Sets and -Generalized Closed Sets, Mem. Fac. Kochi Univ. Ser. A. Math., (15)(1994), 51-63.
10. A. S. Mashhour, M. E. Abd El-Monsef, and S. N. EL-Deeb, -Open Mappings, Acta. Math. Hungar., (41)(1983), 213-218.
11. S. Nithyanantha Jothi and P.Thangavelu, Topology between two sets, Journal of Mathematical Sciences & Computer Applications, 1(3)(2011), 95-107.
12. S. Nithyanantha Jothi and P. Thangavelu, Generalized binary closed sets in binary topological spaces, Ultra Scientist Vol.26(1)(A)(2014), 25-30.
13. S. Nithyanantha Jothi and P. Thangavelu, Binary- -space, Acta Ciencia Indica, XLIM(3)(2015), 241-247.
14. S. Nithyanantha Jothi and P. Thangavelu, Generalized binary regular closed sets, IRA-International Journal of Applied Sciences, 4(2)(2016), 259-263.
15. S. Nithyanantha Jothi, Binary Semi open sets in Binary topological Spaces, International journal of Mathematical Archieve, 7(9)(2016), 73-76.
16. O. Njastad, On Some Classes of Nearly open Sets, Pacific. J. Math., (15)(1965), 961-970.
17. C.Santhini and T. Dhivya, New notion of generalised binary closed sets in binary topological space, International Journal of Mathematical Archive-9(10), 2018.
2. Carlos Granados, On binary -open sets and binary - -open sets in binary topological spaces, South Asian Journal of Mathematics, 11(1)(2021), 1-11.
3. M. Gilber Rani and R. Premkumar, Properties of binary -closed sets in binary topological spaces, Journal of Education: Rabindra Bharati University, XXIV(1)(XII)(2022), 164-168.
4. A. Gnana Arockiam, M. Gilbert Rani and R. Premkumar, Binary Generalized Star Closed Set in Binary Topological Spaces, Indian Journal of Natural Sciences, 13(76)(2023), 52299-52309.
5. S.Jayalakshmi and A.Manonmani, Binary regular beta closed sets and Binary regular beta open sets in Binary topological spaces, The International Journal of Analytical and Experimental Modal Analysis, Vol 12(4)(2020), 494-497.
6. S.Jayalakshmi and A.Manonmani, Binary Pre Generalized Regular Beta Closed Sets in Binary Topological spaces, International Journal of Mathematics Trends and Technology, 66(7)(2020), 18-23.
7. N. Levine, Generalized Closed Sets in Topology, Rent. Circ. Mat. Palermo, 19(2)(1970), 89-96.
8. H. Maki, R. Devi, and K. Balachandran, Generalized -Closed Sets in Topology, Bull. Fukuoka Univ, Ed., Part (III)(42)(1993), 13-21.
9. H. Maki, R. Devi, and K. Balachandran, Associate Topologies of Generalized -Closed Sets and -Generalized Closed Sets, Mem. Fac. Kochi Univ. Ser. A. Math., (15)(1994), 51-63.
10. A. S. Mashhour, M. E. Abd El-Monsef, and S. N. EL-Deeb, -Open Mappings, Acta. Math. Hungar., (41)(1983), 213-218.
11. S. Nithyanantha Jothi and P.Thangavelu, Topology between two sets, Journal of Mathematical Sciences & Computer Applications, 1(3)(2011), 95-107.
12. S. Nithyanantha Jothi and P. Thangavelu, Generalized binary closed sets in binary topological spaces, Ultra Scientist Vol.26(1)(A)(2014), 25-30.
13. S. Nithyanantha Jothi and P. Thangavelu, Binary- -space, Acta Ciencia Indica, XLIM(3)(2015), 241-247.
14. S. Nithyanantha Jothi and P. Thangavelu, Generalized binary regular closed sets, IRA-International Journal of Applied Sciences, 4(2)(2016), 259-263.
15. S. Nithyanantha Jothi, Binary Semi open sets in Binary topological Spaces, International journal of Mathematical Archieve, 7(9)(2016), 73-76.
16. O. Njastad, On Some Classes of Nearly open Sets, Pacific. J. Math., (15)(1965), 961-970.
17. C.Santhini and T. Dhivya, New notion of generalised binary closed sets in binary topological space, International Journal of Mathematical Archive-9(10), 2018.
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Arockiam, A. G., Rani, M. G., & Premkumar, R. (2023). Strongly Binary G*-Closed Set in Binary Topological Spaces. International Journal Of Mathematics And Computer Research, 11(7), 3565-3570. https://doi.org/10.47191/ijmcr/v11i7.11
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