Let X be an L1-predual, non-separable in general. We show that the intrinsic Baire classes of X can be identified with the spaces of odd Baire functions on the set ext BX∗ of the extreme points of the dual unit ball BX∗ in the case when ext BX∗ satisfies some topological assumptions. This generalizes results of Lindenstrauss andWulbert from [On the classification of the Banach…