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In summary, The New York Times published an article about a Russian mathematician who claims to have proved the Poincare Hypothesis. The proof also includes further reaching results, with the proof of Poincare's Hypothesis being a part of it. The article also mentions Andrew Wiles' proof of FLT, which had a flaw that was later fixed with the help of one of his students. Wiles' proof is now considered valid.

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Mathematics news on Phys.org

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excellent

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it's valid today. he did fix it.

The Poincare Hypothesis, also known as the Poincare Conjecture, is a famous unsolved problem in mathematics that aims to determine whether every simply-connected, closed 3-dimensional manifold is homeomorphic to a 3-sphere.

The Poincare Hypothesis was proposed by French mathematician Henri Poincare in 1904.

The Poincare Hypothesis is important because it has applications in many areas of mathematics, including topology, geometry, and physics. It also has implications for our understanding of the universe and its shape.

Yes, the Poincare Hypothesis was proven by Russian mathematician Grigori Perelman in 2002-2003. However, his proof has not yet been fully accepted by the mathematical community and is still undergoing review.

The Poincare Hypothesis is currently considered to be solved, but the proof is still being reviewed and verified by mathematicians. It is also still an active area of research, with mathematicians exploring different aspects and implications of the proof.

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