The answer is pretty clearly yes, but , embarrassingly, I cannot find a good(adsbygoogle = window.adsbygoogle || []).push({});

argument to this-effect. Any hints, please.? (I know the answer is no for

isotopies, i.e., we cannot isotope-away a knot.). I have thought of embedding

the knot in S^3 , and avoiding the point-at-infinity, but this is not working too well.

Thanks.

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# Can we homotope away a (non-trivial) knot.?

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