II-open set in bitopological spaces

Abstract EN

In this paper, we define ii-open set in bitopological space as follows: Let (Χ, τ_1, τ_2) be a bitopological space, a subset A of Χ is said to be (τ_1 τ_2 – ii- open set ) if there exist U, V ≠ ∅, Χ and U, V ∈τ_1 〖∪τ〗_2 such that: A=int1(U) or A=int2 (V) A⊆〖CL〗^1 (A∩U) or A⊆〖CL〗^2 (A∩V) We study some characterizations and properties of this class.

Also, we explain the relation between ii- open sets and open sets, i-open sets and α-open sets in bitopological space.

Furthermore, we define ii- continuous mapping on bitopological spaces with some properties.