Contra continuity on generalized topological spaces

Properties of contra semi-continuity functions and σ-ζμ-sets in generalized topological spaces

“…(1) ( [7]) X is called g-Urysohn, if for each pair x 1 , x 2 ∈ X with x 1 = x 2 , there are U ∈ gO(X, x 1 ), V ∈ gO(X, x 2 ) such that cU ∩ cV = ∅. (2) X is called g-σ-T 2 , if for each pair of x 1 , x 2 ∈ X with x 1 = x 2 , there are…”

Omega open sets in generalized topological spaces

“…For a generalized topological space (X, µ), the elements of µ are called µ-open sets, the complements of µ-open sets are called µ-closed sets, the union of all elements of µ will be denoted by M µ , and (X, µ) is said to be strong if M µ = X. Recently many topological concepts have been modified to give new concepts in the structure of generalized topological spaces, see [3,4,9,13,14,15,16,17,21,22,23,24,25,26,27,28,30] and others. In this paper, we introduce the notion of ω-open sets in generalized topological spaces, and we use them to introduce new classes of mappings in generalized topological spaces.…”