We are concerned with the notions of absolute continuity in terms of $0$-continuity, and of $(\epsilon,\delta)$-continuity, with respect to a finitely additive function taking values into a topological commutative group. A sufficient condition for their equivalence is established. The non-additive case of functions with values into Hausdorff topological spaces is also investigated.
"On the absolute continuity of additive and non-additive functions." Funct. Approx. Comment. Math. 50 (1) 181 - 190, March 2013. https://doi.org/10.7169/facm/2014.50.1.7