KnowraPoincaré conjectureLinked fromLinked fromThe 12 pages that link to Poincaré conjecture, each with the reason it gives.All 12Broader topic 5Related 7Henri PoincaréBroader topic: Poincaré posed this question in 1904; its resolution became a landmark in topology.ManifoldRelated: Its resolution classified a fundamental case of how global manifold topology can be constrained.Ricci flowRelated: Its proof became Ricci flow’s most famous achievement.Grigori PerelmanRelated: This is the conjecture Perelman proved.Saint Petersburg State UniversityRelated: Perelman, a university alumnus, proved this conjecture in the early twenty-first century.Geometric analysisRelated: Ricci flow with surgery supplied the analytic route to its proof.Millennium Prize ProblemsBroader topic: This was the sole Millennium Prize Problem solved and awarded.Geometrization conjectureBroader topic: It is a special case of geometrization and was resolved within Perelman’s proof.Mathematical conjectureBroader topic: Its resolution illustrates how a famous conjecture can become a theorem.3-manifoldRelated: It resolves a fundamental question about recognizing the 3-sphere among 3-manifolds.3-sphereRelated: It characterizes the 3-sphere through a striking condition on three-dimensional spaces.Generalized Poincaré conjectureBroader topic: The original three-dimensional case, proved by Grigori Perelman in 2003.