English

Rectifiability; a survey

Classical Analysis and ODEs 2022-03-02 v3 Analysis of PDEs

Abstract

This is a survey on rectifiability. I discuss basic properties of rectifiable sets, measures, currents and varifolds and their role in complex and harmonic analysis, potential theory, calculus of variations, PDEs and some other topics.

Keywords

Cite

@article{arxiv.2112.00540,
  title  = {Rectifiability; a survey},
  author = {Pertti Mattila},
  journal= {arXiv preprint arXiv:2112.00540},
  year   = {2022}
}

Comments

129 pages, several small changes and additions

R2 v1 2026-06-24T07:59:43.735Z