The notion of operations on a topological space was introduced
by S.Kasahara [8]. The notions of generalized continuous functions [1]
and T$_{1/2}$-spaces [12] are further investigated using operation
approaches [14].
As applications, it is shown that the Khalimsky line (=the digital
line)[9] and two kinds of "digital picture" with a topology are
typical examples of "Int$\circ$Cl"-T$_{1/2}$ spaces.