Strong Forms of Generalized Closed Sets in Ditopological Texture Spaces

Abstract

The purpose of this paper is to introduce the new concepts namely,The relationships between these classes of sets are also obtained. Also some properties and several characterizations are investigated.

ON MICRO $T_{1\over 2}$ SPACE

“…The concept of Micro open set in micro topological space was introduced and investigated by Chandrasekar [1]. In the past few years, different forms of generalized closed sets, Difference sets and kernel of sets have been studied [2,3,4,18,5,19,6,7,8,9,10,20,11,12,13,14,15,21,22,16].…”

\(\alpha\)-\(g\)-bicontinuous, \(\alpha\)-\(g\)-bi-irresolute, \(\alpha\)-\(g\)-compact and \(\alpha\)-\(g\)-stable in complemented ditopological texture spaces

“…Definition 1.5. [6] Let (S, ϕ, τ, k) be a ditopological texture space. A subset A of a texture ϕ is said to be…”

“…[6] Let (S, ϕ, τ, k, σ) be a complemented ditopological texture space. For A ∈ ϕ, we define the α-g-closure[A] α−g and the α-g-interior ]A[ α−g of A under (τ, k) by the equalities [A] α−g = {K ∈ αgc(S) : A ⊆ K} and ]A[ α−g = {G ∈ αgO(S) : G ⊆ A}.…”