Supra α-Open Sets And Supra α -Separation Axioms In Supra Bitopological Spaces

R. Gowri; A.K.R. Rajayal

doi:https://doi.org/10.14445/22315373/IJMTT-V52P556

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 52 | Number 6 | Year 2017 | Article Id. IJMTT-V52P556 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P556

Supra α-Open Sets And Supra α -Separation Axioms In Supra Bitopological Spaces

R. Gowri, A.K.R. Rajayal

Abstract

The aim of this paper is to introduce and study the concept of supra α-open sets and supra α-separation axioms in supra bitopological spaces. Also we study some of their basic prop- erties in supra bitopological spaces.

Keywords

Sτij -pre-open set, Sτij -semi-open set, Sτij -α-open set, Sτij -α-T0-space, Sτij -α-T1-space, Sτij -α-T2-space.

References

[1] S.P. Arya and T.M. Nour, Separation axioms for bitopological spaces, Indian Jr.Pure appl.Math., 19(1),(1988), 42-50.
[2] Hardi N. Aziz, Dilan F. Ahamed and Hero M. Salih, New types of separation ax- ioms in bitopological spaces, zanco Jr. of pure and applied sciences, 27(4)(2015), 20-26.
[3] S. Boss, Semi - open sets, semi - continuity and semi - open mappings in bitopo- logical spaces, Bull . Cal. Math. Soc. 73(1981),237-246.
[4] K. Chandrasekhara Rao and R. Gowri, Some separation axioms of bicech closure spaces, Antartica.Jr.Math, 4(2),(2007), 167-173.
[5] A. Csaszar, Separation axioms for generalized topologies, Acta Math.Hungar, 104,(2004), 63-69.
[6] R. Devi, S. Sampathkumar and M. Caldas, On supra -open sets and supra S-continuous functions, General Math., Vol.16, Nr.2(2008), 34(1967), 77-84.
[7] R. Gowri and A. K. R. Rajayal, On supra bitopological spaces, IOSR-Jr. of Mathematics, Vol 13(5), (2017), 55-58
[8] R. Gowri and A. K. R. Rajayal, Higher separation axioms in supra bitopological spaces, IJMER, ISSN: 2277-7881, Vol 6, 11(3),(2017), 64-71.
[9] R.C. Jain, The role of regularly open sets in general topology Ph.D. Thesis, Meerut university, Institute of Advanced studies, Meerut, India, 1980.
[10] J.C. Kelly, bitopological spaces, Proc. London Math. Soc.No.(3), 13(1963), 71- 89.
[11] A. Kar, P. Battacharyya, Bitopological pre open sets , pre continuity and pre open mappings, Indian J. Math. 34(1992), 295-309.
[12] S. Lal, Pairwise concepts in bitopological spaces, Aust.Jr. Math. soc (ser.A), 26(2015), 241-250.
[13] B. K. Mahmoud, On supra separation axioms for supra topological spaces, Tirkit Jr. Pure science 22(2)(2017), 117-120.
[14] A. S. Mashhour, A. A. Allam, F. S. Mahmoud and F. H. Khedr, On supra topological spaces, Indian Jr. Pure and Appl.Math.No.4(14)(1983), 502-510.
[15] T. M. Nour, A note on five separation axioms in bitopological spaces, Indian Jr.Pure and Appl. Math. 26(7)(1995), 669-674.
[16] C. W. Patty, Bitopological spaces, Pure math. Jr. 34(1967), 387-392
. [17] S. Selvanayaki and N. Rajesh, Separation axioms in bitopological spaces, Int.Jr.of computer applications, 35(9), (2011), 975-887.
[18] D. Sreeja, C. Janaki, A New Type of Separation Axioms in topological spaces, Asian Journal of current Engineering and Maths, 4 Jul-Aug (2012), 199-203.

Citation :

R. Gowri, A.K.R. Rajayal, "Supra α-Open Sets And Supra α -Separation Axioms In Supra Bitopological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 6, pp. 399-406, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P556