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The Poincaré Conjecture has Been Proved

Martin Dunwoody, a famous mathematician who works in the field of topology has a preprint that provides a proof of the Poincaré conjecture. This was one of the seven Clay Mathematics Institute millenium prize problems (reported on Slashdot here). The solution to each of the problems carries a monetary reward of 1 million dollars. However there are a number of conditions that still need to be met for the prize to be awarded in the case of the Poincaré conjecture.

2 of 299 comments (clear)

  1. Re:What's the problem? by Anonymous Coward · · Score: 5, Informative

    You show great skill at cut & pasting from http://www.claymath.org/prizeproblems/poincare.htm : )

    Just kidding. Go ahead, enjoy the cut & paste karma.

  2. Statement of conjecture on wolfram incorrect? by Anonymous Coward · · Score: 5, Informative

    Surely it should read:

    The conjecture that every *compact* simply connected 3-manifold is homeomorphic to the 3-sphere,

    Normal euclidean space R^3 is simply connected,
    and definitely NOT homeomorphic to to the
    3-sphere !!

    (That they are not homeomorphic can be proved by
    comparing their homotopy or homology groups).

    Liam.