Abstract

P.Karthiksankar introduced Dine-topological space which is a special case of generalized topological space. Functions and of course open functions stand among the most important notions in the whole of mathematical science. Many different forms of open function have been introduced over the years. Various interesting problems arise when one considers openness. Its importance is significant in various areas of mathematics and related sciences. Aim of this paper is we introduced in Dine sg-open sets in Dine topological space.and also we studied about quasi Dine sg-open and quasi Dine g-closed functions in Dine topological spaces.

Keywords

References

[1] D.Andrijevic, “Semi – pre open sets”, Mat.Vesnik, 38(1), 24 – 32 (1986).
[2] P. Bhattacharyya, and B. K. Lahiri, Semi Generalized Closed Sets in Topology, Indian J.Pure Appl.Math., Vol. 29, Pp. 375-382 (1987).
[3] S.Chandrasekar,M.Suresh,T.Rajesh kannan Nano sg-interior and Nano sg-closure in nano topological spaces. International Journal. Mathematical Archive, 8(4), 94-100 (2017).
[4] S.Chandrasekar, A Atkinswestly, M ,Sathyabama, g#b-closed sets in Topological paces. International Journal of Advanced Research (IJAR) 5(7) , 2722-2730
[5] S Chandrasekar, M Sathyabama, A Atkinswestley g# b-Interior and g #b-Closure in Topological Spaces. International Journal of Mathematics and its Applications,552(B)7(2017).
[6] S.Chandrasekar, M.Suresh and T.Rajesh Kannan,On Quasi Soft sg-open and Quasi Soft sg-closed Functions in Soft Topological Spaces. International Journal of Mathematics and its Applications (239-246), Volume 5, Issue 2–B, 239–246 (2017).
[7] S.Chandrasekar, T Rajesh Kannan, M Suresh,,δωα-Closed Sets in Topological Spaces,Global Journal of Mathematical Sciences: Theory and Practical.9 (2), 103-116(2017).
[8] S.Chandrasekar,T Rajesh Kannan,R.Selvaraj δωα closed functions and δωα Closed Functions in Topological Spaces, International Journal of Mathematical Archive 8 (11) (2017).
[9] N.Levine, Generalized closed sets in Topological Spaces, Rend. Circ. Mat. Palermo, Vol 19, Pp.89-96 (1970).
[10] P.L. Powar and Pratibha Dubey A Concise form of Continuity in Fine Topological Space Advances in Computational Sciences and Technology Vol. 10, N. 6, pp.1785-1805 (2017),
[11] P.L. Powar and K. Rajak, Fine irresolute mapping, Journal of Advanced Studied in Topology, 3(4) 125–139 (2012).
[12] O.Ravi, S. Ganesan and S. Chandrasekar On Totally sg-Continuity, Strongly sg- Continuity and Contra sg-Continuity Genral Mathematical notes. Notes, Vol.7,No 1, pp.13-24 Nov (2011).