Plenty of big projections imply big pieces of Lipschitz graphs
Abstract
I prove that closed n-regular sets E⊂Rd with plenty of big projections have big pieces of Lipschitz graphs. In particular, these sets are uniformly n-rectifiable. This answers a question of David and Semmes from 1993.
Main Author
Format
Articles
Research article
Published
2021
Series
Subjects
Publication in research information system
Publisher
Springer
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202107014138Use this for linking
Review status
Peer reviewed
ISSN
0020-9910
DOI
https://doi.org/10.1007/s00222-021-01055-z
Language
English
Published in
Inventiones Mathematicae
Citation
- Orponen, T. (2021). Plenty of big projections imply big pieces of Lipschitz graphs. Inventiones Mathematicae, 226(2), 653-709. https://doi.org/10.1007/s00222-021-01055-z
License
Additional information about funding
Open access funding provided by University of Jyväskylä (JYU).
Copyright© The Author(s) 2021