In April 2002, M. J. Dunwoody announced that he had produced a five-page proof of this famous mathematical problem included on the Clay Mathematics Institute's list of million dollar problems.  
In April 2002, M. J. Dunwoody announced that he had produced a five-page proof of this famous mathematical problem included on the Clay Mathematics Institute's list of million dollar problems.  Trivial for the case n=1, the n=2 case is a classic proof.  The n=4 case won Freedman the Fields medal in 1986, and Smale proved it true for all n greater than or equal to 5.  Stating that every compact n-manifold is homotopy-equivalent to the n-sphere if and only if it is homeomorphic to the n-sphere, FTP, identify this conjecture which takes its name from the student of Charles Hermite who originally proposed it.
In April 2002, M. J. Dunwoody announced that he had produced a five-page proof of this famous mathematical problem included on the Clay Mathematics Institute's list of million dollar problems.  
Poincare conjecture