OpenAI reports a uniformly discrete Lipschitz-free space without bounded approximation

There is a countable uniformly discrete metric space whose real Lipschitz-free space has the approximation property but fails every bounded approximation property.

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Understanding the problem

Read the background

There is a countable uniformly discrete metric space whose real Lipschitz-free space has the approximation property but fails every bounded approximation property.

Why it matters

If correct, answers Kalton’s uniform-discreteness question negatively.

What counts as progress

Does uniform discreteness force bounded approximation in Lipschitz-free spaces?

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