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Dec 23, 2012 at 16:41 vote accept Pietro Majer
Sep 13, 2011 at 22:18 comment added George Lowther Ah, I missed that one. Yes, it is very nice (I think you need to apply the Jordan curve theorem to show that the domain is simply connected, then apply Schoenflies to show that the preimage can be extended into the interior of the circle).
Sep 13, 2011 at 21:39 comment added Jim Conant You can't get much more elementary than Thurston's idea for letting the arc run from $0$ to $\infty$ and taking the preimage under the (branched) double cover of the Riemann sphere $z\mapsto z^2$. I'm still amazed by this.
Sep 13, 2011 at 20:33 history edited George Lowther CC BY-SA 3.0
Typo
Sep 13, 2011 at 20:23 history edited George Lowther CC BY-SA 3.0
Typo. Wording
Sep 13, 2011 at 20:01 history answered George Lowther CC BY-SA 3.0