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Aug 17, 2010 at 18:08 history edited Hans-Peter Stricker CC BY-SA 2.5
corrected the link
Jan 12, 2010 at 20:57 comment added Ryan Budney It's still undecidable up to an ambient homeomorphism. And the undecidablility is again a fundamental group issue -- there's a certain type of group presentation called a Wirthinger presentation. Given any such presentation there's an algorithm to construct a knot ($n>2$) such that $\pi_1$ of the complement has that Wirthinger presentation.
Jan 12, 2010 at 20:37 comment added user1073 An ambient isotopy
Jan 12, 2010 at 20:31 comment added Joey Hirsh What kind of deformation of $\mathbb{R}^{n+2}$?
Jan 12, 2010 at 19:24 history answered user1073 CC BY-SA 2.5