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arXiv · 1807.11801

On the interior of projections of planar self-similar sets

Yuki Takahashi
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Abstract

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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Yuki Takahashi. 2018-07-31. On the interior of projections of planar self-similar sets. https://arxiv.org/abs/1807.11801

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