OpenAI reports bi-Lipschitz charts at every regular RCD point

For every n≥2 and real K, each regular point of a noncollapsed RCD(K,n) space has an ambient-open neighborhood bi-Lipschitz to an open subset of Euclidean n-space, with distortion bounded only by n.

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Understanding the problem

Read the background

For every n≥2 and real K, each regular point of a noncollapsed RCD(K,n) space has an ambient-open neighborhood bi-Lipschitz to an open subset of Euclidean n-space, with distortion bounded only by n.

Why it matters

If correct, strengthens regular-point geometry of noncollapsed RCD spaces to uniform bi-Lipschitz coordinates.

What counts as progress

Does every regular point of a noncollapsed RCD space admit a bi-Lipschitz chart?

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