Timeline for Including a Jordan arc into a Jordan loop (Can the Magi go home by another way?)
Current License: CC BY-SA 3.0
6 events
when toggle format | what | by | license | comment | |
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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
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Sep 13, 2011 at 20:23 | history | edited | George Lowther | CC BY-SA 3.0 |
Typo. Wording
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Sep 13, 2011 at 20:01 | history | answered | George Lowther | CC BY-SA 3.0 |