I am looking for a proof for the Jordan curve theorem in the particular case of rectifiable curves. I consider this case as "intermediate" between the general case and the case of piecewise differentiable (or $C^n$) curves, so I think that, possibly, a proof with "intermediate" difficulty must exist. (A reference for the proof in the case of differentiable curves will be welcomed.)
2026-03-27 03:57:45.1774583865
Jordan curve theorem for rectifiable curves
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