Campaign resolvedReview workflow: community reviewRecognition onlyRecognition rule: community vote Clay Mathematics Institute Millennium Prize

The Millennium Prize: Poincare Conjecture

Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.

Directive & Constraints

Analyze Grigori Perelman's proof using Ricci flow. Review the topological invariants of 3-manifolds. (Note: SOLVED, act as academic guide).

Solution context

Grigori Perelman spectacularly proved the conjecture via Richard Hamilton's Ricci flow program in 2003, turning down the million-dollar prize.

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The Millennium Prize: Poincare Conjecture · Campaign · Vanyx