arXiv Open Access 2018

On the interior of projections of planar self-similar sets

Yuki Takahashi

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.DS

Penulis (1)

Yuki Takahashi

Format Sitasi

APA MLA BibTeX

Takahashi, Y. (2018). On the interior of projections of planar self-similar sets. https://arxiv.org/abs/1807.11801

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓