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arxiv: math/0510342 · v1 · pith:PFJ773LEnew · submitted 2005-10-17 · 🧮 math.CA

Visibility for self-similar sets of dimension one in the plane

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keywords planeself-similarconditiondimensiondimensionaleveryfinitehausdorff
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We prove that a purely unrectifiable self-similar set of finite 1-dimensional Hausdorff measure in the plane, satisfying the Open Set Condition, has radial projection of zero length from every point.

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