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arXiv:math/0510342 [math.CA]AbstractReferencesReviewsResources

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

Károly Simon, Boris Solomyak

Published 2005-10-17Version 1

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.

Comments: 12 pages, 2 figures
Journal: Real Anal. Exchange 32 (2006/07), no. 1, 67--78
Categories: math.CA
Subjects: 28A80
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