The main result is: Each Baire 2 function f: I → R whose set of continuity points is dense is the pointwise limit of a sequence of Darboux Baire 1/2 functions.

Let X be a weakly $Lindel\ddot{o}f$ determined Banach space. We prove that if X is non-separable, then there exist a complete probability space (Ω, Σ, μ) and a ...