Characterizations of Some Subclasses of the First Class of Baire

Abstract

In the paper [3] the authors have examined functions of the Baire class 1, where the domain and the range were metric spaces $\varepsilon - \delta$characterization of such functions has been proved. In this note we examine, if replacing of the condition from [3] by its stronger version can lead us to the characterization of some subclass of $B_1$ on the interval $[0,1]$.