Extension of Binary Topology

Authors

  • Seethalakshmi R Deaprtmant of Mathematics, Jaya collage of arts and Science, Thiruninravuir – 602024, Tamilnadu, India
  • Kamaraj M Department of Mathematics, Govt. Arts and Science Collage Sivakasi- 626124, Tamilnadu, India

Keywords:

Binary topology, n-ary sets, n-ary topology, product topology

Abstract

Nithyanantha Jothi and Thangavelu studied the properties of the product of two power sets and introduced the concept of binary topology. In this paper, properties of the product of arbitrarily n-power sets are discussed where n >2. Further an n-ary topology on the product of power sets similar to binary topology is introduced and studied

References

[1] S.S.Benchalli , P.G.Patil, S.Abeda Dodamani and J.Pradeepkumar, “On Binary Soft Separation Axioms in Binary Soft Topological Spaces”, Global Journal of Pure and Applied Mathematics, vol.13, no.9, pp. 5393-5412, 2017.

[2] M.Jamal Mustafa, “On Binary Generalized Topological Spaces”, General Letters in Mathematics, vol.2, no.3, pp.111-116, 2017.

[3] M.Lellish Thivagar, J. Kavitha, “On Binary Structure of Supra topological spaces”, Bol.Soc. Paran. Mat., vol.35, no.3, pp.25-37, 2017.

[4] S.Nithyanantha Jothi, “Binary semicontinuous functions”, International Journal of Mathematics Trends and Technology, vol.49, no.2, pp.152-155, 2017.

[5] S.Nithyanantha Jothi , P.Thangavelu, “Topology Between Two Sets”, Journal of Mathematical Sciences and Computer Applications, vol.1, no.3, pp.95-107, 2011.

[6] S.Nithyanantha Jothi , P.Thangavelu, “On Binary Topological Spaces”, Pacific-Asian Journal Mathematics, vol.5, no.2, pp.133-138, 2011.

[7] S.Nithyanantha Jothi, P.Thangavelu, “Generalized Binary Regular Closed Sets”, IRA International Journal of Applied Sciences, vol.4, no.2, pp.259-263, 2011.

[8] S.Nithyanantha Jothi, P.Thangavelu , “On Binary Continuity and Binary Separation Axioms”, Ultra Scientists vol.24, no.1A, pp.121-126, 2012.

[9] S.Nithyanantha Jothi, P.Thangavelu, “Binary semiopen sets in Binary Topological Spaces”, International Journal of Mathematical Archiv, vol.7, no.9, pp.73-76, 2016.

[10] R.Seethalakshmi, K.Kamaraj, “Nearly Binary Open Sets in Binary Topologica; Spaces”, International Conference On Applied and Computational Mathematics(ICACM- 2018),

Erode Arts and Science College(Autonomous) Rangampalaym, Erode-638009, Tamilnadu, India, 2018.

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Published

2025-11-25

How to Cite

[1]
R. Seethalakshmi and M. Kamaraj, “Extension of Binary Topology”, Int. J. Comp. Sci. Eng., vol. 7, no. 5, pp. 194–197, Nov. 2025.

Issue

Vol. 7 No. 5 (2019): IJCSE Special Issue Mar Edition

Section

Research Article

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