David Guy, Semmes Stephen:
Uniform Rectifiability And Quasiminimizing Sets Of Arbitrary Codimension
American Mathematical Society (United States), 2000
Paperback, 132 pages
ISBN: 9780821820483
ISBN-10: 0821820486
Uniform Rectifiability And Quasiminimizing Sets Of Arbitrary Codimension
Graphs of Lipschitz mappings $f\:\mathbfR^d \to \mathbfR^{n-d}$ are always quasiminimizing, and Almgren showed that quasiminimizing sets are rectifiable. This book establishes uniform rectifiability properties of quasiminimizing sets, which provide a quantitative sense in which these sets behave like Lipschitz graphs.
