Timeline for Conformal map and Jordan curve

11 events

when toggle format	what		by	license	comment
May 26, 2015 at 20:13	vote	accept	Clem.
May 23, 2015 at 2:04	answer	added	Tom Goodwillie		timeline score: 1
May 22, 2015 at 12:43	answer	added	Lasse Rempe		timeline score: 5
May 21, 2015 at 21:38	comment	added	Clem.		Thanks for the comments ; these hypothesis were a bit implicit for me. I re-edit the question.
May 21, 2015 at 21:36	history	edited	Clem.	CC BY-SA 3.0	added 18 characters in body
May 21, 2015 at 17:54	comment	added	Malik Younsi		Well what if $\Omega$ is the whole plane and $\gamma$ is not a circle? In this case, such an $f$ would be linear, so that $f(\gamma)$ cannot be a circle.
May 21, 2015 at 15:14	comment	added	Dylan Thurston		Your edit asks for $\gamma$ to be smooth (presumably meaning $C^\infty$), but that is still not restrictive enough: you need $\gamma$ to at least be analytic, as Malik pointed out.
May 21, 2015 at 14:21	comment	added	Clem.		Sorry, I forgot this. I edit my question.
May 21, 2015 at 14:20	history	edited	Clem.	CC BY-SA 3.0	added 9 characters in body
May 21, 2015 at 14:18	comment	added	Malik Younsi		Not in general, of course, just because the curve $\gamma$ needs to be analytic if there is such a conformal map $f$.
May 21, 2015 at 14:13	history	asked	Clem.	CC BY-SA 3.0