Geodesic
On the Lower Derivate of a Set Function
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1489-1498

Voir la notice de l'article provenant de la source Cambridge University Press

In (5), the following theorem was proved in a very general setting:(1) An additive set function is non-negative whenever its lower derivative is non-negative.For a continuous additive function of intervals, theorem (1) can be improved as follows:(2) A continuous additive set function is non-negative whenever its lower derivative is non-negative except, perhaps, on a countable set. 
Pfeffer, W. F. On the Lower Derivate of a Set Function. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1489-1498. doi: 10.4153/CJM-1968-149-8
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