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

Research paper by Károly Simon, Boris Solomyak

Indexed on: 17 Oct '05Published on: 17 Oct '05Published in: Mathematics - Classical Analysis and ODEs



Abstract

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.