Hyperbolization theorem
ID: hyperbolization-theorem
The Hyperbolization Theorem is a result in the field of topology and geometric group theory, specifically concerning the characteristics of 3-manifolds. It states that any compact, orientable 3-manifold that contains a certain type of submanifold (specifically, a “reducible” submanifold or one that can be "hyperbolized") can be decomposed into pieces that exhibit hyperbolic geometry.
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