TY - BOOK AU - David,Guy AU - Toro,Tatiana TI - Reifenberg Parameterizations for Sets with Holes T2 - Memoirs of the American Mathematical Society SN - 9780821885178 AV - QA312 -- .D385 2011eb U1 - 515/.42 PY - 2012/// CY - Providence PB - American Mathematical Society KW - Measure theory KW - Minimal surfaces KW - Calculus of variations KW - Electronic books N1 - Intro -- Contents -- 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 0 -- Chapter 5. Local Lipschitz graph descriptions of the k -- Chapter 6. Reifenberg-flatness of the image -- Chapter 7. Distortion estimates for Dk -- Chapter 8. Hölder and Lipschitz properties of f on 0 -- Chapter 9. C2-regularity of the k and fields of linear isometries defined on 0 -- Chapter 10. The definition of g on the whole Rn -- Chapter 11. Hölder and Lipschitz properties of g on Rn -- 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 -- Bibliography UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114504 ER -