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  3. 1 a prove that a nonconstant holomorphic mapping is open...

Question: 1 a prove that a nonconstant holomorphic mapping is open...

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1. (a) Prove that a nonconstant holomorphic mapping is open (i.e., the image of every open set is open (b) Let U, V denote domains in C and let f : U → V be a holomorphic mapping Suppose that f is proper (i.e., f-1 (K) is compact, for every compact subset K of V). Prove that f(U)-V (c) Is the assertion in (a) true if holomorphic is replaced by continuous? Explain

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