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edited Mar 19, 2017 at 15:56

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Connected planar compact set with finite $\mathcal{H}^1$-lengthlength is path connected

Here length means 1-Hausdorff measure. This seems to be known, what is the reference? Or very short proof?

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edited Mar 19, 2017 at 10:46

108.9k
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459

Connected planar compact set with finite $\mathcal{H}^1$-length is path connected

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asked Mar 19, 2017 at 8:27

108.9k
9
264
459

Connected planar compact set with finite $\mathcal{H}^1$ is path connected

This seems to be known, what is the reference? Or very short proof?

reference-request gt.geometric-topology geometric-measure-theory