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

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

2005-10-17

arxiv.org/abs/math/0510342v1

Real Anal. Exchange 32 (2006/07), no. 1, 67--78

Mathematics

Classical Analysis and ODEs

12 pages, 2 figures

Scientific paper

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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