* The only available reference on uniform rectifiabilityThe text covers the understanding of uniform rectifiability of a given set in terms of the approximate b

This book is intended for graduate students and research mathematicians interested in calculus of variations and optimal control; optimization.

A broad survey of the theory of rectifiability and its deep connections to numerous different areas of mathematics.

This monograph is devoted to the proof of two related results. The first one asserts that if is a Radon measure in satisfyingfor -a.e. , then is rectifiable. Si

The authors extend the proof of Reifenberg's Topological Disk Theorem to allow the case of sets with holes, and give sufficient conditions on a set $E$ for the