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News: Poincare's Conjecture Finally Proved (?)

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  • aldimalkoun
    Well, it might be the case that this problem is finally solved by Dunwoody. Check out this link and download the paper:
    Message 1 of 1 , Apr 13, 2002
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      Well, it might be the case that this problem is finally solved by
      Dunwoody. Check out this link and download the paper:

      http://www.maths.soton.ac.uk/pure/viewabstract.phtml?entry=655

      It's only 5 pages long! Gee, this guy could be a millionaire (and
      some people say that Maths doesn't pay).

      Briefly, for those of you who don't know about this conjecture:
      Poincare has conjectured that every simply connected closed 3-
      manifold is homeomorphic to the 3-sphere. Actually, what is now known
      as Poincare's conjecture is a generalization of the previous
      statement for any dimension. It has been shown for all n except 3!
      And now, Dunwoody claims he's got a 5 pages proof for the (original)
      n=3 case. The Clay Institute offers a Million Dollars reward for the
      mortal who proves it (but imposes many conditions too!).

      His prospective proof is based on an algorithm (by Rubinstein) which
      shows how to recognize a 3-sphere (Thompson).
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