### Prove that if u is simply connected then so is v

Assignment Help Mathematics
##### Reference no: EM131350822

1. Suppose U and V are conformally equivalent. Prove that if U is simply connected, then so is V. Note that this conclusion remains valid if we merely assume that there exists a continuous bijection between U and V.

2. Does there exist a holomorphic surjection from the unit disc to C?

[Hint: Move the upper half-plane "down" and then square it to get C.]

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