Poincare conjecture. This problem was posed by the French mathematician Henri Poincare (1854-1912) in a paper published in 1904 on topology. The artwork shows a loop being continuously tightened to a point on a 2-sphere (the surface of a sphere). This surface property is known as simple-connectedness. Poincare's conjecture was that the same property characterises the 3-sphere (the surface of a hypersphere). This conjecture is one of the Millennium Prize Problems. The solution,building on earlier work by US mathematician Richard Hamilton,was published in 2002 and 2003 by Russian mathematician Grigori Perelman | |
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