A generalization of Reifenberg's theorem in RN for flat cones
Abstract
In this paper we prove that if a closed set in RN is close to a cone over a simplicial complex at each point and at each scale, then it is locally bi-H\"older equivalent to such a cone. This generalizes Reifenberg's Topological Disk Theorem in 1960 and G. David, T. De Pauw and T. Toro's result in 2008.
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