On the interior of projections of planar self-similar sets
Dynamical Systems
2018-08-01 v1
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.
Keywords
Cite
@article{arxiv.1807.11801,
title = {On the interior of projections of planar self-similar sets},
author = {Yuki Takahashi},
journal= {arXiv preprint arXiv:1807.11801},
year = {2018}
}
Comments
12 pages, 1 figure