Geometrization conjecture
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![PDF] Geometrization Theorem Thurston ' s | Semantic Scholar](/imgres?imgurl=https://d3i71xaburhd42.cloudfront.net/227e09cc88a91a5e752ed72b5378090cd352153a/7-Figure4-1.png&imgrefurl=https://www.semanticscholar.org/paper/Geometrization-Theorem-Thurston-%2527-s-Conjecture/227e09cc88a91a5e752ed72b5378090cd352153a&h=824&w=1084&tbnid=fZ9RwMYhndF2rM&q=Geometrization+conjecture&tbnh=114&tbnw=150&usg=AI4_-kQ7_MO_9tDhjayQpWlkyJYf-prH-g&vet=1&docid=eRnzFCGk-rhQEM&sa=X&ved=2ahUKEwjU8vmQjs6FAxXqj4kEHfcjCfYQ9QF6BAgAEAU)
![PDF] Scalar Curvature and Geometrization Conjectures for 3 ...](/imgres?imgurl=https://d3i71xaburhd42.cloudfront.net/152a6e811ab36dcc37536993a3e353a31335b5c9/17-Figure1-1.png&imgrefurl=https://www.semanticscholar.org/paper/Scalar-Curvature-and-Geometrization-Conjectures-for-Anderson/152a6e811ab36dcc37536993a3e353a31335b5c9&h=392&w=880&tbnid=W_bBSNrEjHDNCM&q=Geometrization+conjecture&tbnh=65&tbnw=146&usg=AI4_-kRu5wSlxTDUQMfBsOFdVZlnL1H9yA&vet=1&docid=PKQSGX3NBWxXHM&sa=X&ved=2ahUKEwjU8vmQjs6FAxXqj4kEHfcjCfYQ9QF6BAgAEAk)
In mathematics, Thurston's geometrization conjecture states that each of certain three-dimensional topological spaces has a unique geometric structure that can be associated with it. Wikipedia
Consequences: Poincaré conjecture; Thurston elliptization conjecture
Field: Geometric topology
First proof by: Grigori Perelman
First proof in: 2006