Geometry and topology · Oct 6, 2026
Bi-Lipschitz coordinates at every regular RCD point
Proves that every regular point of a noncollapsed space, for K ∈ ℝ and integer n ≥ 2, has an open neighborhood bi-Lipschitz to an open subset of ℝn. Regularity requires all pointed tangents to be Euclidean, the reference measure is exactly , and the chart compares ambient distances with a point-dependent finite constant.
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