6533b829fe1ef96bd128afc1
RESEARCH PRODUCT
Plenty of big projections imply big pieces of Lipschitz graphs
Tuomas Orponensubject
General Mathematics010102 general mathematicsprojectionMetric Geometry (math.MG)Lipschitz continuity01 natural sciencesprojektiomatemaattinen analyysiCombinatorics28A75 (Primary) 28A78 (Secondary)Mathematics - Metric GeometryMathematics - Classical Analysis and ODEs0103 physical sciencesClassical Analysis and ODEs (math.CA)FOS: MathematicsMathematics::Metric Geometrymittateoria010307 mathematical physics0101 mathematicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-08-20 | Inventiones mathematicae |