庞加莱猜想

D. O'Shea
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引用次数: 6

摘要

庞加莱猜想是少数几个能够引起主流媒体兴趣的数学结果之一。它被认为是数学中最重要的开放问题之一,克莱数学研究所为第一个正确答案提供了100万美元的奖励,它困扰了数学家一个多世纪。然后,在2003年,隐居的俄罗斯数学家格里戈里·佩雷尔曼(Grigory Perelman)在网上发表了一系列论文,声称已经解决了这个问题。他开始了美国之旅,解释了他论文中的主要观点,这些观点似乎很合理,但缺乏一些细节。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Poincaré conjecture
The Poincaré conjecture is one of the few mathematical results that has managed to catch the interest of the mainstream media. Acknowledged as one of the most important open questions in mathematics, and endowed by the Clay Mathematics Institute with a reward of $1,000,000 for the first correct solution, it had bugged mathematicians for over a century. Then, in 2003, the reclusive Russian mathematician Grigory Perelman posted a series of online papers claiming to have solved the problem. He embarked on a tour of the USA, explaining the main ideas contained in his papers they seemed sound but lacked some detail.
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