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The Curvature Theorem of David and Léger

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Vitushkin’s Conjecture for Removable Sets

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Abstract

The goal of this very long chapter is to prove Theorem 6.16, the second of the two difficult results needed to complete the resolution of Vitushkin’s Conjecture. Our treatment here is from [LÉG].

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Referneces

  1. G. David and S. Semmes, Singular integrals and rectifiable sets inn: Au delà des Graphes Lipschitziens, SMF No. 193 in Astérisque, Vol. 193 (1991). (Sections 8.3 and 8.8)

  2. G. David and S. Semmes, Analysis of and on uniformly rectifiable sets, Mathematical Surveys and Monographs, Vol. 38, American Mathematical Society (1993). (Sections 8.3 and 8.8)

  3. M. W. Frazier, An Introduction to Wavelets Through Linear Algebra, Springer-Verlag (2001). (Section 8.22)

  4. P. W. Jones, Rectifiable sets and the traveling salesman problem, Invent. Math., Vol. 102 (1990), 1–15. (Section 8.3)

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  5. W. Rudin, Real and Complex Analysis, 3rd Edition, McGraw-Hill Book Company (1987). (Preface and Many Sections)

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  6. H. Pajot, Sous-ensembles de courbes Ahlfors-régulières et nombres de Jones, Publ. Mat., Vol. 40 (1996), 497–526. (Section 8.3)

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Correspondence to James J. Dudziak .

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Dudziak, J.J. (2010). The Curvature Theorem of David and Léger. In: Vitushkin’s Conjecture for Removable Sets. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6709-1_8

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