Geometrization conjecture | mathematics | Britannica (original) (raw)

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fundamental group

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  In topology: Fundamental group
  Thurston’s conjecture implies the Poincaré conjecture, and in recognition of his work toward proving these conjectures, the Russian mathematician Grigori Perelman was awarded a Fields Medal at the 2006 International Congress of Mathematicians.
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work of Thurston

• In William Paul Thurston
  His geometrization conjecture says that every three-dimensional manifold is locally isometric to just one of a family of eight distinct types. Special cases were then proved, but only in 2006 was the first generally convincing proof published of the Poincaré conjecture in three dimensions, which was…
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