Finite curvature of arc length measure implies rectifiability
If E C C is a set with finite length and finite curvature, then E is rectifiable. This fact, proved by David and Léger in 1999, is one of the basic ingredients for the proof of Vitushkin's conjecture. In this paper we give another different proof of this result.
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2005 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:115173 |
| Acceso en línea: | https://ddd.uab.cat/record/115173 https://dx.doi.org/urn:doi:10.1512/iumj.2005.54.2746 |
| Access Level: | acceso abierto |
| Palabra clave: | Curvature of measures Rectifiability Analytic capacity |
| Sumario: | If E C C is a set with finite length and finite curvature, then E is rectifiable. This fact, proved by David and Léger in 1999, is one of the basic ingredients for the proof of Vitushkin's conjecture. In this paper we give another different proof of this result. |
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