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geometry-topology / Metric geometry

Makeev's conjecture on universal cover

Makeev conjectured it to be true for all dimensions. This result disproves it for dimensions 4 and 5. Dimensions 6 and above remain open.

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geometry-topologyAug 10, 2026Significance 15/100Registry: unreviewed

Makeev's conjecture on universal cover

Prior state unknown→disproved

Makeev conjectured it to be true for all dimensions. This result disproves it for dimensions 4 and 5. Dimensions 6 and above remain open.

Source authenticatedMakeev's conjecture on universal cover →
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Makeev conjectured it to be true for all dimensions. This result disproves it for dimensions 4 and 5. Dimensions 6 and above remain open.

Makeev conjectured it to be true for all dimensions. This result disproves it for dimensions 4 and 5. Dimensions 6 and above remain open.

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