Uniform Rectifiability and Quasiminimizing Sets of Arbitrary Codimension.
David, Guy.
Uniform Rectifiability and Quasiminimizing Sets of Arbitrary Codimension. - 1st ed. - 1 online resource (146 pages) - Memoirs of the American Mathematical Society ; v.144 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Chapter 0. Introduction -- Chapter 1. Quasiminimizers -- Chapter 2. Uniform Rect inability and the Main Result -- Chapter 3. Lipschitz Projections into Skeleta -- Chapter 4. Local Ahlfors-Regularity -- Chapter 5. Lipschitz Mappings with Big Images -- Chapter 6. From Lipschitz Functions to Projections -- Chapter 7. Regular Sets and Cubical Patchworks -- Chapter 8. A Stopping-Time Argument -- Chapter 9. Proof of Main Lemma 8.7 -- 9.1. A general deformation result -- 9.2. Application to quasiminimizers -- Chapter 10. Big Projections -- Chapter 11. Restricted and Dyadic Quasiminimizers -- Chapter 12. Applications -- 12.1. The initial set-up -- 12.2. Stability of sets -- 12.3. Topological interpretations -- 12.4. Polyhedral approximations and minimizers -- 12.5. General sets -- Bibliography.
9781470402785
Minimal surfaces.
Geometric measure theory.
Fourier analysis.
Electronic books.
QA644 -- .D38 2000eb
510 s;516.3/62
Uniform Rectifiability and Quasiminimizing Sets of Arbitrary Codimension. - 1st ed. - 1 online resource (146 pages) - Memoirs of the American Mathematical Society ; v.144 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Chapter 0. Introduction -- Chapter 1. Quasiminimizers -- Chapter 2. Uniform Rect inability and the Main Result -- Chapter 3. Lipschitz Projections into Skeleta -- Chapter 4. Local Ahlfors-Regularity -- Chapter 5. Lipschitz Mappings with Big Images -- Chapter 6. From Lipschitz Functions to Projections -- Chapter 7. Regular Sets and Cubical Patchworks -- Chapter 8. A Stopping-Time Argument -- Chapter 9. Proof of Main Lemma 8.7 -- 9.1. A general deformation result -- 9.2. Application to quasiminimizers -- Chapter 10. Big Projections -- Chapter 11. Restricted and Dyadic Quasiminimizers -- Chapter 12. Applications -- 12.1. The initial set-up -- 12.2. Stability of sets -- 12.3. Topological interpretations -- 12.4. Polyhedral approximations and minimizers -- 12.5. General sets -- Bibliography.
9781470402785
Minimal surfaces.
Geometric measure theory.
Fourier analysis.
Electronic books.
QA644 -- .D38 2000eb
510 s;516.3/62