June 13, 2024Open Access

Criterion for the absolute continuity of curves in metric spaces

VBV. I. BakhtinBelarusian State University

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Abstract

It is proved that a parameterized curve in a metric space X is absolutely continuous if and only if its composition with any Lipschitz function on X is absolutely continuous.

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V. I. Bakhtin (Thu,) studied this question.

synapsesocial.com/papers/68e64f88b6db6435875e0053 https://doi.org/https://doi.org/10.48550/arxiv.2406.08941

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