Poincaré conjecture

In mathematics, the Poincaré conjecture (pronounced pwăN-kä-rā') is a conjecture about the characterisation of the three-dimensional sphere amongst 3-manifolds. It is widely considered to be the most important unsolved problem in topology.

Related Topics:
Mathematics - Conjecture - Characterisation - Three-dimensional sphere - 3-manifold - Topology

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The Poincaré conjecture is one of the seven Millennium Prize Problems for which the Clay Mathematics Institute is offering a $1,000,000 prize for a correct solution. As of 2004 it is becoming accepted that a proof offered by Grigori Perelman in 2003 may have disposed of this question, after nearly a century. Perelman's work is still under review.

Related Topics:
Millennium Prize Problems - Clay Mathematics Institute - As of 2004 - Grigori Perelman - 2003

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