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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 4 | Year 2019 | Article Id. IJMTT-V65I4P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I4P509

On Generalization of Generalized Regular b-Open Sets in Topological Spaces


B. Sorna Praba, M. J. Jeyanthi
Abstract

Using the concept of ggrb-closed sets, we introduce ggrb-open sets. Also we introduce and study the topological properties of ggrb- neighborhood, ggrb-limit point, ggrb-interior, ggrb-closure of a set in topological spaces.

Keywords
ggrb-open set, ggrb- neighborhood, ggrb-limit point, ggrb-interior, ggrb-closure.
References

[1] D. Andrijivic, On b-open sets, Mat. Vesnik, 48(1-2), 59-64 (1996).
[2] W. Dunhum, A new closure operator for non T1-topologies, Kyungpook Math, 22, 56-60 (1982).
[3] Md. Hanif PAGE, V. T. Hasamath, Some Properties of Θsgp- neighborhoods, International Journal of Mathematics Trends and Technology, Vol. (20), No. 1, 47-54 (2015).
[4] N. Levine, Generalized closed sets in topology, Rend. Circ. Math. Palermo, 19(2), 89-96 (1996).
[5] A. Narmadha, N. Nagaveni and T. Noiri, On regular b-open sets in topological spaces, Int. Journal of Math. Analysis, Vol. 7, n0. 19, 937-948 (2013).
[6] Savithri D and Janaki C, On regular Λgeneralized closed sets in topological spaces, International Journal of Mathematical Archieve4(4), 162-169 (2013).
[7] B. Sorna Praba, M. J. Jeyanthi, On generalization of generalized regular b-closed sets in topological spaces, Proceedings of the Instructional School of Emerging Trends in Advanced Mathematics (ISETAM’19), 75-83, (2019).
[8] M. Stone, Application of the Theory of Boolean rings to general topology, Trans. Amer. Math. Soci, 41, 374-481 (1937).

Citation :

B. Sorna Praba, M. J. Jeyanthi, "On Generalization of Generalized Regular b-Open Sets in Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 4, pp. 41-51, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I4P509

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