When absolutely continuous implies a-finite

We show that the variational measure of an additive continuous function of figures is cr-finite whenever it is absolutely continuous. This result yields a new descriptive definition of a multidimensional generalized Riemann integral.Buczolich Zoltân, Pfeffer Washek F. When absolutely continuous implies a-finite. In: Bulletin de la Classe des sciences, tome 8, n°1-6, 1997. pp. 155-160