Criterion for the absolute continuity of curves in metric spaces
Metric Geometry
2025-09-16 v2 Functional Analysis
Abstract
It is proved that a parameterized curve in a metric space is absolutely continuous if and only if its composition with any Lipschitz function on is absolutely continuous.
Cite
@article{arxiv.2406.08941,
title = {Criterion for the absolute continuity of curves in metric spaces},
author = {V. I. Bakhtin},
journal= {arXiv preprint arXiv:2406.08941},
year = {2025}
}
Comments
7 pages; some priority comments and references added