Criterion for Absolute Continuity of Curves in Metric Spaces

Mathematical Notes 2026 Open access

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Authors: Victor Ivanovich Bakhtin
DOI: 10.1134/s0001434626603783
Cited by: 0
References: 4

Abstract

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

Fields of Study & Subjects

Advanced Numerical Analysis Techniques advanced mathematical theories Algebraic and Geometric Analysis

Publication details

Journal / source
Mathematical Notes
Publisher
Pleiades Publishing Ltd
Volume
120
Issue
3-4
Pages
417–423
Publication date
23 September 2026
Language
EN