Question: Prove that a connected open set U C C is simply connected if and only any two paths 70, 71: [0, 1] - U with

Prove that a connected open set U C C is simply connected if and only any two paths 70, 71: [0, 1] - U with o(0) = 71(0) and yo (1) = 71 (1) are homotopic rel end points

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