8. Prove that the union of two domains is a domain if and only if they have at least one point in common. Note: you may use the (topological) fact that union of two open sets (in C) is open (in C).

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8. Prove that the union of two domains is a domain if and only if they have at
least one point in common.
Note: you may use the (topological) fact that union of two open sets (in C) is open (in C).
Transcribed Image Text:8. Prove that the union of two domains is a domain if and only if they have at least one point in common. Note: you may use the (topological) fact that union of two open sets (in C) is open (in C).
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