美《科学》杂志将庞伽莱猜想的证明列为2006年十大科学进展之首
(转自美国数学会网站)
Proof of Poincaré Conjecture is Top Scientific
Breakthrough of 2006
Science has called the proof of the Poincaré
Conjecture the 2006 Breakthrough of the Year. The conjecture states that a
bounded three-dimensional manifold with no holes is topologically the same as a
three-dimensional sphere. Henri Poincaré made the
conjecture in 1904 but its proof remained elusive. In 2002 and 2003, Grigori Perelman posted three papers on the ArXiv claiming to prove the conjecture and a more general
statement known as the Thurston Geometrization
Conjecture. This past summer, Perelman was awarded a Fields Medal (which he
declined to accept) for his proof. Conjectures No More? in the September 2006 Notices of the AMS has more
background on both conjectures and the proof. The Science website also has background as well
as nine other scientific breakthroughs in 2006. [Item posted