Poincaré conjecture

theorem in geometric topology that every simply connected, closed 3-manifold is homeomorphic to the 3-sphere

In mathematics, 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. The conjecture states: Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.

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