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Results tagged with 4-manifolds
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user 33041
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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If $M$ is contractible manifold and $X\subset \partial M$, does the cone over $X$ embed in $M$?
Not in the PL case - this follows from the results of "Knot concordance in homology cobordisms" by Hom, Levine, and Lidman.
They prove that for many pairs of a 3-manifold $Y$ and knot $K \subset Y$, a …
