feat: add 3D topological Poincaré conjecture (Perelman) eval problem#293
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kim-em wants to merge 1 commit into
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feat: add 3D topological Poincaré conjecture (Perelman) eval problem#293kim-em wants to merge 1 commit into
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This PR adds the 3D topological Poincaré conjecture as a new eval problem: every simply connected compact Hausdorff 3-manifold is homeomorphic to 𝕊³. Recorded in mathlib as `proof_wanted SimplyConnectedSpace.nonempty_homeomorph_sphere_three` in `Mathlib/Geometry/Manifold/PoincareConjecture.lean`. Proved by Perelman 2002-2003 via Hamilton's Ricci flow with surgery; one of the seven Millennium Problems. Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
This was referenced May 23, 2026
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This PR adds the 3D topological Poincaré conjecture as a new lean-eval challenge problem: every simply connected compact Hausdorff 3-manifold is homeomorphic to
𝕊³.Recorded in mathlib as
proof_wanted SimplyConnectedSpace.nonempty_homeomorph_sphere_threeinMathlib/Geometry/Manifold/PoincareConjecture.lean. Proved by Grigori Perelman in 2002–2003 via Hamilton's Ricci flow with surgery (Perelman's three arXiv preprints); one of the seven Clay Millennium Problems, conjectured by Poincaré in 1904.mathlib has
ChartedSpace,SimplyConnectedSpace,CompactSpace,T2Space,Homeomorph, and the unit sphere as a smooth manifold — but no Ricci flow, no Hamilton–Perelman surgery, no canonical-neighbourhood theorem, and no Poincaré conjecture itself.🤖 Prepared with Claude Code