Preprint in the OpenAI Math release

Bi-Lipschitz Absorption of c0 Without a Linear Copy of c0

OpenAI

Abstract

We construct a separable real Banach space Z that contains no linear copy of c $_{0}$ , yet is bi-Lipschitz equivalent to $Z \oplus_{\infty} c_{0}$ . The same space contains a bi-Lipschitz image of every separable metric space.

open until 1 Jan 2028

est. 50% chance this result is independently verified by the end of 2027.

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