Journal of Electrical Engineering.
De Gruyter Open Ltd.
Том 69.
2018.
С. 79-84
We establish the measurability of the Banach indicatrix for a measurable mapping in a geometrically doubling metric space. This is a generalization of a known result for continuous transformations in Euclidean space. A system of dyadic cubes in metric space is employed to construct a sequence of measurable functions converging to the indicatrix, and we partly follow Banach’s original proof. © Instytut Matematyczny PAN, 2018.