In the mathematical field of geometric topology, the Poincaré conjecture (UK: /ˈpwæ̃kæreɪ/, US: /ˌpwæ̃kɑːˈreɪ/, French: [pwɛ̃kaʁe]) is a theorem about...
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the Poincaré Conjecture and the Geometrization Conjecture". arXiv:math.DG/0612069. Morgan, John W.; Tian, Gang Ricci Flow and the Poincaré Conjecture arXiv:math/0607607...
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solving the Poincare conjecture, though Perelman declined to accept either award. The Poincaré conjecture and the spherical space form conjecture are corollaries...
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Millennium Prize Problems (section Poincaré conjecture)
Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture at the Millennium Meeting held on May 24, 2000. Thus, on the official...
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In the mathematical area of topology, the generalized Poincaré conjecture is a statement that a manifold which is a homotopy sphere is a sphere. More...
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Poincaré conjecture), Fermat's Last Theorem, and others. Conjectures disproven through counterexample are sometimes referred to as false conjectures (cf...
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3-manifold (section Poincaré conjecture)
important 3-manifold because of the now-proven Poincaré conjecture. Originally conjectured by Henri Poincaré, the theorem concerns a space that locally looks...
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Colin P. Rourke (section Poincaré Conjecture)
counterexample to the Poincaré Conjecture, if one existed. In 2002, Martin Dunwoody posted a claimed proof of the Poincaré Conjecture. Rourke identified...
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mechanics. The Poincaré group used in physics and mathematics was named after him. Early in the 20th century he formulated the Poincaré conjecture, which became...
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smooth Poincaré conjecture is known in all dimensions other than 4 (it is usually false in dimensions at least 7; see exotic sphere). The Poincaré conjecture...
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