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A smooth 4-manifold is a 4-manifold with a smooth structure. In dimension four, in marked contrast with lower dimensions, topological and smooth manifolds are quite different.
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Accepted
Status of a conjecture of C.T.C. Wall?
The conjecture has been solved. This is Theorem 16.1 in C.T.C. Wall. (1999). Surgery on Compact Manifolds, Second edition. Mathematical Surveys and Monographs,
Vol. 69. Here, two proofs of this theore …