Hi all.

I'm not even sure that this is a theorem, but a while ago I heard a topologist friend of mine (whom I haven't been able to reach) saying that given a continuous embedding $f:M^{n}\to N^{r}$ ($M$ and $N$ being topological manifolds), a sufficient condition for $f(M)$ to be (possibly) knotted in $N$ is that $r=2n$. Does anyone know if this is even true? Also, if it is true then the following question seems natural: will the embedding still be knotted if $r>2n$. Thanks a lot.

knottedto mean for topological embeddings? – Ryan Budney May 1 '12 at 19:43