In mathematics, Thurston's geometrization conjecture states that each of certain three-dimensional topological spaces has a unique geometric structure...

Perelman presented his work proving the Poincaré conjecture (and the more powerful geometrization conjecture of William Thurston). Over the next several years...

analysis of Ricci flow, and proved the Poincaré conjecture and Thurston's geometrization conjecture, the former of which had been a famous open problem...

the proof. The Poincaré conjecture and the spherical space form conjecture are corollaries of the geometrization conjecture, although there are shorter...

a conjecture has been proven, it is no longer a conjecture but a theorem. Many important theorems were once conjectures, such as the Geometrization theorem...

William Thurston's geometrization conjecture, Hamilton produced a number of results in the 1990s which were directed towards the conjecture's resolution. In...

conjectures, see the references in the articles on geometrization conjecture or Poincaré conjecture. William Thurston. Three-dimensional geometry and topology...

manifolds and diffeomorphisms. A proof of this conjecture, together with the more powerful geometrization conjecture, was given by Grigori Perelman in 2002 and...

fields to 3-manifolds. Thurston was next led to formulate his geometrization conjecture. This gave a conjectural picture of 3-manifolds which indicated...

conjecture and geometrization conjecture in the field of geometric topology. Grigori Perelman built upon Hamilton's results to prove the conjectures,...