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Dec 5, 2022 at 18:46 history edited Anton Petrunin
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Apr 15, 2012 at 14:00 history edited student CC BY-SA 3.0
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Apr 15, 2012 at 13:45 history edited student CC BY-SA 3.0
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Apr 14, 2012 at 12:04 comment added Misha No, the question is still misstated, currently you are asking if A implies A.
Apr 14, 2012 at 9:49 history edited student CC BY-SA 3.0
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Apr 14, 2012 at 4:34 comment added Misha Assuming Ian's reading of your question, take hyperbolic n-manifold $M$ containing a closed totally-geodesic subsurface $S$. Then most closed geodesics in $S$ are not simple but are are homotopic to simple loops in $M$ provided $n>2$. For part 3 answer is also negative for $n>2$. You should proofread your posts.
Apr 14, 2012 at 4:00 answer added Anton Petrunin timeline score: 2
Apr 14, 2012 at 2:59 comment added Ian Agol in 1), do you mean $\alpha$ is a simple closed loop?
Apr 14, 2012 at 0:54 history asked student CC BY-SA 3.0