English

Plenty of big projections imply big pieces of Lipschitz graphs

Classical Analysis and ODEs 2021-06-22 v3 Metric Geometry

Abstract

I prove that a closed nn-regular set ERdE \subset \mathbb{R}^{d} with plenty of big projections has big pieces of Lipschitz graphs. This answers a question of David and Semmes.

Keywords

Cite

@article{arxiv.2008.08843,
  title  = {Plenty of big projections imply big pieces of Lipschitz graphs},
  author = {Tuomas Orponen},
  journal= {arXiv preprint arXiv:2008.08843},
  year   = {2021}
}

Comments

40 pages. v3: referee comments incorporated