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

Remark: 249-01. A finitely generated counterexample to the Eilenberg–Ganea conjecture

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Authors: OpenAI. Family 249.

Title: A finitely generated counterexample to the Eilenberg–Ganea conjecture.

Abstract: We construct a finitely generated residually finite group of integral cohomological dimension two and geometric dimension three, disproving the Eilenberg–Ganea conjecture.

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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