Question

Solve the problem "Poincare Conjecture" with explanation?​

Answer 1

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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. The analogous conjectures for all higher dimensions had already been proved.

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Answer 2

Answer:

Perelman was awarded the Millennium Prize on March 18, 2010. On July 1, 2010, he turned down the prize, saying that he believed his contribution in proving the Poincaré conjecture was no greater than Hamilton's. As of 2020, the Poincaré conjecture is the only solved Millennium problem.

Step-by-step explanation: