On typical bounded functions in the Zahorski classes
The paper deals with real functions defined on the real interval [0,1]. Using the fact that the families \(bM_ i\) of bounded functions each of Zahorski's classes form a complete metric space under the sup norm, some typical results are given. E.g., it is proved that a typical function in each family \(bM_ i\) has every real number as a derived number at every point. The author also gives analogues of \textit{J. Ceder}'s and \textit{T. L. Pearson}'s results concerning \(bM_ 1\) [Acta Math. Acad. Sci. Hung. 37, 339-348 (1981; Zbl 0426.26003)] in each of the other Zahorski classes.
typical bounded Darboux Baire 1 function
scientific article; zbMATH DE number 3927262