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Aug 17, 2012 at 18:32 comment added Ian Agol I changed the description to describe more precisely the diffeomorphism. The ambient isotopy then follows by connectedness of the diffeo. group.
Aug 17, 2012 at 17:04 history edited Ian Agol CC BY-SA 3.0
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Aug 17, 2012 at 11:51 comment added Joseph O'Rourke @Agol: This is an insightful observation, that a diffeomorphism takes it to the unknot. And I love that phrase, "combing the link to be straight"!
Aug 17, 2012 at 6:38 comment added Douglas Zare Actually, the "combing off to infinity" that I was thinking of for the long knot wasn't an ambient isotopy.
Aug 17, 2012 at 4:19 history answered Ian Agol CC BY-SA 3.0