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Dec 3, 2013 at 0:45 comment added Michael @TomGoodwillie: what if both domain and image are simply-connected?
May 4, 2011 at 0:16 comment added Tom Goodwillie No true. Take $f(z)=z^3-3z$ and restrict it to the complement of $\lbrace 1,-1\rbrace$ so that $f'(z)$ is never $0$. It maps this domain onto $\mathbb C$.
Apr 19, 2011 at 7:46 comment added KotelKanim thanks. that's great. I never thought about it before, but it just sounded right...
Apr 17, 2011 at 11:33 comment added KotelKanim is it true though if the image is simply-connected?
Apr 14, 2011 at 18:19 history answered Malik Younsi CC BY-SA 3.0