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2006/2007 Visibility for self-similar sets of dimension one in the plane.
Károly Simon, Boris Solomyak
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Real Anal. Exchange 32(1): 67-78 (2006/2007).


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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Károly Simon. Boris Solomyak. "Visibility for self-similar sets of dimension one in the plane.." Real Anal. Exchange 32 (1) 67 - 78, 2006/2007.


Published: 2006/2007
First available in Project Euclid: 17 July 2007

zbMATH: 1126.28009
MathSciNet: MR2329222

Primary: 28A80

Keywords: Hausdorff measure , Purely unrectifiable , self-similar set

Rights: Copyright © 2006 Michigan State University Press

Vol.32 • No. 1 • 2006/2007
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