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arxiv: 1807.11801 · v1 · pith:PR46BO6Xnew · submitted 2018-07-31 · 🧮 math.DS

On the interior of projections of planar self-similar sets

classification 🧮 math.DS
keywords projectionsself-similarinteriorplanarsetsapplyingarbitrarycondition
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We consider projections of planar self-similar sets, and show that one can create nonempty interior in the projections by applying arbitrary small perturbations, if the self-similar set satisfies the open set condition and has Hausdorff dimension greater than 1.

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