Abstract
We introduce and study new notions of continuity, compactness and stability in ditopological texture spaces based on the notions of pre-g-open and pre-g-closed sets and some of their characterizations are obtained.
Highlights
Ditopology: [6] A dichotomous topology on a texture (S, φ), or ditopology for short, is a pair (τ, k) of subsets of φ, where the set of open sets τ satisfies
Gi ∈ τ, i ∈ I implies that i Gi ∈ τ, and the set of closed sets k satisfies
One of the most useful notions of texture spaces is that of difunction
Summary
Ditopology: [6] A dichotomous topology on a texture (S, φ), or ditopology for short, is a pair (τ , k) of subsets of φ, where the set of open sets τ satisfies. Pre-g-bi-irresolute and pre-g-stable in ditopological texture spaces 249 A set A ∈ φ is called pre-open (pre-closed) if A ⊆][A][ ([]A[] ⊆ A).
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