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Poincaré conjecture |
Also found in: Wikipedia | 0.03 sec. |
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Poincaré conjecture [‚pwän‚kä′rā kən‚jek·chər] (mathematics) The question as to whether a compact, simply connected three-dimensional manifold without boundary must be homeomorphic to the three-dimensional sphere. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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Szpiro chronicles the history of Poincare's conjecture, the key events of the mathematician's life, and the many failed attempts to solve this topological problem. Let's just say that the Russian mathematician Grigory Perelman didn't need to rush to publish his proof of Poincare's conjecture on our account. Poincare's conjecture is one of the simplest possible questions to ask about three-dimensional spaces, yet it has stumped mathematicians from Poincare's time to the present. |
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