Engineering & Technologyarticle2026-09-23

Criterion for Absolute Continuity of Curves in Metric Spaces

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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 $$X$$

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View paper (DOI)Open access versionOpenAlexMathematical NotesPublished 2026-09-23

Authors: Victor Ivanovich Bakhtin

Institutions: Belarusian State University