The goal of this paper is to investigate of the semi-Borel and Baire classification of the multifunction of all path derived numbers of a semi-Borel and Baire function of the class . Consequently the classification of the extreme path derivatives is given. The results hold in the setting of ordinary qualitative and approximate path differentiation, and the proofs are based on a classification of the collection of paths which is considered as a multifunction of the semi-Borel class .
"THE SEMI-BOREL CLASSIFICATION OF THE EXTREME PATH DERIVATIVES." Real Anal. Exchange 15 (1) 216 - 238, 1989/1990. https://doi.org/10.2307/44152000