English

Every Planar Set has a Conformally Removable Subset with the Same Hausdorff Dimension

Complex Variables 2019-12-03 v1

Abstract

In this paper we show that given any compact set EC^E \subset \hat{\mathbb{C}}, we can always find a conformally removable subset with the same Hausdorff dimension as EE.

Keywords

Cite

@article{arxiv.1912.00301,
  title  = {Every Planar Set has a Conformally Removable Subset with the Same Hausdorff Dimension},
  author = {Hindy Drillick},
  journal= {arXiv preprint arXiv:1912.00301},
  year   = {2019}
}

Comments

8 pages, 2 figures

R2 v1 2026-06-23T12:32:06.279Z