h****2
发帖数: 9 | 1 U is a simple connected open set and f is an analytic function, is f(U) simple
connected ? | H****h
发帖数: 1037 | 2 未必。
simple
【在 h****2 的大作中提到】
: U is a simple connected open set and f is an analytic function, is f(U) simple
: connected ?
| h****2
发帖数: 9 | 3 any counter example ? I cann't make one right now
I also doubt as I think f needs to be isomorphism to make this hold
【在 H****h 的大作中提到】
: 未必。
:
: simple
| H****h
发帖数: 1037 | 4 f(z)=e^z, S=(0,1)X(0,3\pi)
【在 h****2 的大作中提到】
: any counter example ? I cann't make one right now
: I also doubt as I think f needs to be isomorphism to make this hold
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