Reifenberg parameterizations for sets with holes / [electronic resource] Guy David, Tatiana Toro.

"January 2012, volume 215, number 1012 (third of 5 numbers)."

Includes bibliographical references.

Chapter 1. Introduction Chapter 2. Coherent families of balls and planes Chapter 3. A partition of unity Chapter 4. Definition of a mapping $f$ on $\Sigma _0$ Chapter 5. Local Lipschitz graph descriptions of the $\Sigma _k$ Chapter 6. Reifenberg-flatness of the image Chapter 7. Distortion estimates for $D\sigma _k$ Chapter 8. H�older and Lipschitz properties of $f$ on $\Sigma _0$ Chapter 9. $C^2$-regularity of the $\Sigma _k$ and fields of linear isometries defined on $\Sigma _0$ Chapter 10. The definition of $g$ on the whole $\mathbb {R}^n$ Chapter 11. H�older and Lipschitz properties of $g$ on $\mathbb {R}^n$ Chapter 12. Variants of the Reifenberg theorem Chapter 13. Local lower-Ahlfors regularity and a better sufficient bi-Lipschitz condition Chapter 14. Big pieces of bi-Lipschitz images and approximation by bi-Lipschitz domains Chapter 15. Uniform rectifiability and Ahlfors-regular Reifenberg-flat sets

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.