Nash conjectured in 1952 that every compact differentiable manifold can be realized as the set of real points of a real algebraic variety which is birational to projective space. This paper announces the negative solution of this conjecture in dimension 3. The proof shows that in fact very few 3- manifolds can be realized this way.
|Original language||English (US)|
|Number of pages||11|
|Journal||Electronic Research Announcements of the American Mathematical Society|
|State||Published - Sep 15 1998|
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