Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 324-02. Bi-Lipschitz Absorption of c0 Without a Linear Copy of c0

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Authors: OpenAI. Family 324.

Title: Bi-Lipschitz Absorption of c0 Without a Linear Copy of c0.

Abstract: We construct a separable real Banach space Z that contains no linear copy of c0, yet is bi-Lipschitz equivalent to $Z{}oplus_{}infty c_0$. The same space contains a bi-Lipschitz image of every separable metric space.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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