Bi-Lipschitz coordinates at every regular RCD point

Claimed, not checked 1 paper September 25, 2026
What the paper claims, in its own words

Proves that every regular point of a noncollapsed RCD(K,n)\mathop{\mathrm{RCD}}\nolimits (K,n) 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 Hn\mathcal H^n, and the chart compares ambient distances with a point-dependent finite constant.

The plain-language explainer for this entry is still coming.

The original paper