Continuous and Contra Continuous Functions in Bi topological Spaces
The concept of bi topological spaces was first introduced by J.C. Kelly [2] in 1963. Many authors such as Levine [3] contributed as he defined the semi open sets and semi continuity in bi topological spaces. Maheshwari and Prasad [5] contributed semi open sets and semi continuity to bi topological spaces. The notion of b open sets contributed by Mashhour et. al. [6] and Andrijevic [1] define Semi pre open sets. In this paper we discuss pre continuity and semi pre continuity in bi topological spaces. LellisThivager et.al. [4] introduces g* closed sets topological spaces and initiated the concepts of ultra space by using (1, 2)a open sets in bi topological spaces and proved that each (1, 2)a open sets is (1, 2) semi open and (1, 2) pre open but the converse of each is not true. R Devi and S.Sampath Kumar and M. Caldas [7] introduced and studied a class of sets and maps between bi topological spaces Called supra a open sets and supra a continuous maps respectively.