Geodesic
A concept of absolute continuity and a Riemann type integral
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 189-196.

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We present a descriptive definition of a multidimensional generalized Riemann integral based on a concept of generalized absolute continuity for additive functions of sets of bounded variation.
Classification : 26A39, 26B15, 26B30
Keywords: sets of bounded variation; partitions; gages; generalized absolute continuity 
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     title = {A concept of absolute continuity and a {Riemann} type integral},
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Bongiorno, B.; Pfeffer, W. F. A concept of absolute continuity and a Riemann type integral. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 189-196. http://geodesic.mathdoc.fr/item/CMUC_1992__33_2_a0/