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math.MG2023
Ricci curvature bounded below and uniform rectifiability
Matthew Hyde, Michele Villa, Ivan Yuri Violo
We prove that Ahlfors-regular RCD spaces are uniformly rectifiable. The same is shown for Ahlfors regular boundaries of non-collapsed RCD spaces. As an application we deduce a type…
math.MG2023
Uniformly rectifiable metric spaces: Lipschitz images, Bi-Lateral Weak Geometric Lemma and Corona Decompositions
David Bate, Matthew Hyde, Raanan Schul
In their 1991 and 1993 foundational monographs, David and Semmes characterized uniform rectifiability for subsets of Euclidean space in a multitude of geometric and analytic ways.…