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smooth manifold

   Also found in: Wikipedia 0.01 sec.
smooth manifold [′smüth′man·ə‚fōld]
(mathematics)
A differentiable manifold whose local coordinate systems depend upon those of Euclidean space in an infinitely differentiable manner.


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This is because quantum theory appears to require that space be discrete, while general relativity requires space-time to be a continuous, smooth manifold, i.
Here's his handy explanation of the winning entry: "Chas and Sullivan discovered that the homology of the space of free loops (string topology) of a closed oriented smooth manifold has a structure of a Batalin-Vilkovisky (BV) algebra.
He subsequently refined his methods to develop new, subtler invariants that distinguish between smooth manifolds even when they have the same quadratic form and are therefore topologically equivalent.
 
 
 
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