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- Poincaré conjecture
Theorem in geometric topology that every simply connected, closed 3-manifold is homeomorphic to the 3-sphere
In the mathematical field of geometric topology, the Poincaré conjecture (,) is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space. Originally conjectured by Henri Poincaré in 1904, the theorem concerns spaces that locally look like ordinary three-dimensional space but which are finite in extent. Wikipedia
