kosovohp01
Posts : 714 Join date : 2010-08-26
| Subject: Poincaré conjecture Tue Dec 14, 2010 12:38 am | |
| Originally conjectured by Henri Poincaré, the theorem concerns a space that locally looks like ordinary three-dimensional space but is connected, finite in size, and lacks any boundary (a closed 3-manifold). The Poincaré conjecture claims that if such a space has the additional property that each loop in the space can be continuously tightened to a point, then it is necessarily a three-dimensional sphere. An analogous result has been known in higher dimensions for some time. After nearly a century of effort by mathematicians, Grigori Perelman presented a proof of the conjecture in three papers made available in 2002 and 2003 on arXiv.org. The proof followed the program of Richard Hamilton. Several high-profile teams of mathematicians have verified that Perelman's proof is correct. green living directorytravesti | |
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