March 3, 2014

Are all 3-manifolds smoothable?

Filed under: Letters from Ionia — Tags: , , , — zankaon @ 7:28 pm

Mathematically supposedly all 3-manifolds are smoothable. However in physical models, for near to Planck scale, the manifold is no longer differentiable. In some speculative physical models, one allegedly still has a continuum i.e. manifold, for finer than Planck scale, with matching to rational set. Does such model serve as a counter example to the mathematical statement that all 3-manifolds are smoothable?

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