# Measurability of the banach indicatrix

Результат исследования: Научные публикации в периодических изданияхстатья

## Аннотация

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.

Язык оригинала английский 97-101 5 Colloquium Mathematicum 153 1 https://doi.org/10.4064/cm6881-7-2017 Опубликовано - 1 янв 2018