On residual subsets of Darboux-Baire class 1 functions
The author considers the Banach spaces consisting of bounded Darboux- Baire one functions defined on [0,1], with the norm of the uniform convergence. There are the space of continuous functions, the space of bounded derivatives, Zahorski classes and others. He gives a table containing a list of 15 properties of functions, e.g.: The function is continuous almost everywhere. The function \(f(x)+rx\) is nowhere monotonic for every r. Each real number is a derived number of f(x) at each point. The table says whether the family of functions having a property is a residual subset of a space or not. Blanks in the table are for open problems.
scientific article; zbMATH DE number 3912665