OpenAI reports an Eilenberg–Ganea counterexample
- Mathematics
There is a finitely generated residually finite group of integral cohomological dimension two and geometric dimension three.
OpenAI reports an Eilenberg–Ganea counterexample
- Mathematics
There is a finitely generated residually finite group of integral cohomological dimension two and geometric dimension three.
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Understand the problem ↓Understanding the problem
Read the background
There is a finitely generated residually finite group of integral cohomological dimension two and geometric dimension three.
Why it matters
If correct, disproves the long-standing Eilenberg–Ganea conjecture with a finitely generated residually finite example.
What counts as progress
Can a group have cohomological dimension two but geometric dimension three?
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