Rectifiability and finite variation

2018/05/29 by Matthew Hendtlass, Hendtlass, Matthew
Computer Science · Mathematics · #Classical Analysis and ODEs (math.CA) #Computational Geometry and Mesh Generation #FOS: Mathematics #Logic (math.LO) #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1806.07945

openalex publication_date 2018/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the length of a path in R² can be computed if and only if its variation in every direction can.

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