Talk:Koebe quarter theorem

Latest comment: 16 years ago by OdedSchramm in topic [Untitled]

[Untitled]

edit

The form of Koebe's 1/4 theorem with which I am familiar requires the function to map the disk injectively (as in Bieberbach's conjecture). This is a stronger condition than being conformal mapping, which need not be injective. Also, I think that the radius of the disk should be a based on the derivative, not the value of the function. I will change the article, accordingly. DRLB (talk) 16:28, 8 April 2008 (UTC)Reply

I am used to the term conformal to mean injective. Indeed, I think this is quite standard. But I see that this is not the definition given in conformal map. I will use injective from now on. Thanks for pointing this out. Oded (talk) 16:51, 8 April 2008 (UTC)Reply