Medial axis detects non-Lipschitz normally embedded points

Abstract

We demonstrate that every point where X - a closed subset of R^n - is not Lipschitz Normally Embedded is approached by the medial axis of X.

References in corpus (3)

• Minimal surface singularities are Lipschitz normally embedded
• Metrically un-knotted corank 1 singularities of surfaces in ${\mathbb{R}}^4$
• A characterization of Lipschitz normally embedded surface singularities