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Plenty of big projections imply big pieces of Lipschitz graphs
- Source :
- Inventiones mathematicae. 226:653-709
- Publication Year :
- 2021
- Publisher :
- Springer Science and Business Media LLC, 2021.
-
Abstract
- I prove that a closed $n$-regular set $E \subset \mathbb{R}^{d}$ with plenty of big projections has big pieces of Lipschitz graphs. This answers a question of David and Semmes.<br />Comment: 40 pages. v3: referee comments incorporated
- Subjects :
- General Mathematics
010102 general mathematics
projection
Metric Geometry (math.MG)
Lipschitz continuity
01 natural sciences
projektio
matemaattinen analyysi
Combinatorics
28A75 (Primary), 28A78 (Secondary)
Mathematics - Metric Geometry
Mathematics - Classical Analysis and ODEs
0103 physical sciences
Classical Analysis and ODEs (math.CA)
FOS: Mathematics
Mathematics::Metric Geometry
mittateoria
010307 mathematical physics
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 14321297 and 00209910
- Volume :
- 226
- Database :
- OpenAIRE
- Journal :
- Inventiones mathematicae
- Accession number :
- edsair.doi.dedup.....de35925f85cf3016df434218bcb98454
- Full Text :
- https://doi.org/10.1007/s00222-021-01055-z