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Homotopy type of a Lee-metric Rips complex on the 7 by 7 torus

TheoremDB P2510 · computational topology

Source catalogue assessmentAs of 2026-09-08Source & evidence ↓

Problem statement

On (Z/7Z)2(\mathbb Z/7\mathbb Z)^2, give each coordinate its circular distance and use their sum as the Lee metric. Let YY be the clique complex joining two vertices when their Lee distance is at most 2. Is YY homotopy equivalent to the 2-torus?

Lean 4

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Progress & source assessment

Source-reported assessment, retrieved 8 September 2026. Frontier Science has not independently reviewed this status.

Resolved. Not Lean-verified

References
  1. [1]TheoremDB P2510 link

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