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arXiv math/0510342math.CA
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平面一维自相似集的可见性

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

Károly Simon, Boris Solomyak

摘要:

证明了平面上满足开集条件的一维有限Hausdorff测度的纯不可求长自相似集从每一点的径向投影长度为零.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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