ProvedTopology·2003
Poincare Conjecture
Every simply connected closed 3-manifold is homeomorphic to the 3-sphere.
The Poincare conjecture was one of topology's defining problems. Perelman's proof via Ricci flow completed a central chapter in the classification of 3-manifolds.
Summary
The Poincare conjecture was one of topology's defining problems. Perelman's proof via Ricci flow completed a central chapter in the classification of 3-manifolds.