English

On Lakes of Wada

Complex Variables 2026-01-06 v1 Metric Geometry

Abstract

There exist Lakes of Wada in Sn,n3,\mathbb S^n, n\ge 3, which are quasiconformally equivalent to a Euclidean ball and are John domains.

Cite

@article{arxiv.2601.02266,
  title  = {On Lakes of Wada},
  author = {Pekka Pankka and Jang-Mei Wu},
  journal= {arXiv preprint arXiv:2601.02266},
  year   = {2026}
}

Comments

The manuscript "Quasiregular cobordism theorem" (arXiv:1904.09095) will be published in separate papers. This submission is an expansion of Part 2 of arXiv:1904.09095