Uniform rectifiability and quasiminimizing sets of arbitrary codimension

Cover......Page 1
Title: Uniform Rectifiability and Quasiminimizing Sets of Arbitrary Codimension......Page 2
510 s—dc2l......Page 3
Contents......Page 8
Abstract......Page 9
CHAPTER 0: Introduction......Page 10
CHAPTER 1: Quasiminimizers......Page 16
CHAPTER 2: Uniform Rectifiability and the Main Result......Page 19
ChAPTER 3: Lipschitz Projections into Skeleta......Page 22
CHAPTER 4: Local Ahifors-Regularity......Page 29
CHAPTER 5: Lipschitz Mappings with Big Images......Page 36
ChAPTER 6: From Lipschitz Functions to Projections......Page 39
CHAPTER 7: Regular Sets and Cubical Patchworks......Page 42
CHAPTER 8: A Stopping-Time Argument......Page 53
9.1. A general deformation result......Page 60
9.2. Application to quasiminimizers......Page 76
CHAPTER 10: Big Projections......Page 87
CHAPTER 11: Restricted and Dyadic Quasiminimizers......Page 94
CHAPTER 12: Applications......Page 106
12.1. The initial set-Sup......Page 107
12.2. Stability of sets......Page 113
12.3. Topological interpretations......Page 121
12.4. Polyhedral approximations and minimizers......Page 123
12.5. General sets......Page 129
Bibliography......Page 140
Back Cover......Page 142