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Timeline for Knots in 3-manifolds

Current License: CC BY-SA 3.0

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Dec 27, 2014 at 18:28 vote accept ali elgindi
Dec 27, 2014 at 18:26 history edited Sam Nead CC BY-SA 3.0
Simplified a lot.
Dec 27, 2014 at 18:24 comment added ali elgindi I understand now, thank you. I will work on the proof (which seems direct). Thanks again!
Dec 27, 2014 at 18:21 history edited Sam Nead CC BY-SA 3.0
Simplified a lot.
Dec 27, 2014 at 18:05 comment added ali elgindi That isn't making sense to me, maybe I don't understand your point. $K$ is cut out and $S$ bounds a ball in $M$, but the ball is now missing the knot. How is it still bounding a 3-ball?
Dec 27, 2014 at 17:56 comment added ali elgindi As I understand, by the Sphere Theorem if M is irreducible then $\pi_2(M)=0$. But how does this also imply that $\pi_2(M \setminus K) = 0$?
Dec 27, 2014 at 17:43 history answered Sam Nead CC BY-SA 3.0