ALGEBRA GENERATED BY A.E. CONTINUOUS DERIVATIVES OF INTERVAL FUNCTIONS

Abstract

In this paper it is proved that each a.e. continuous Baire one function $u:{ℝ}^m\to ℝ$ can be written as $u=f\cdot g+h$, where $f$, $g$ and $h$ are a.e. continuous derivatives (with respect to the ordinary differentiation basis).