A chord-arc covering theorem in Hilbert space

Jonas Azzam

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arXiv · 0905.4317

A chord-arc covering theorem in Hilbert space

Jonas Azzam

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Abstract

We prove that there exists $M>0$ such that for any closed rectifiable curve $Γ$ in Hilbert space, almost every point in $Γ$ is contained in a countable union of $M$ chord-arc curves whose total length is no more than $M$ times the length of $Γ$.

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BibTeX RIS

Jonas Azzam. 2011-06-21. A chord-arc covering theorem in Hilbert space. https://arxiv.org/abs/0905.4317

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