A chord-arc covering theorem in Hilbert space
classification
🧮 math.MG
math.CA
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gammachord-archilbertlengthspacealmostclosedcontained
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We prove that there exists $M>0$ such that for any closed rectifiable curve $\Gamma$ in Hilbert space, almost every point in $\Gamma$ is contained in a countable union of $M$ chord-arc curves whose total length is no more than $M$ times the length of $\Gamma$.
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