Question: Prove that a connected open set U C C is simply connected if and only any two paths y0, 71: [0, 1] U with

Prove that a connected open set U C C is simply connected

Prove that a connected open set U C C is simply connected if and only any two paths y0, 71: [0, 1] U with yo(0) = 71(0) and y0(1) = V1(1) are homotopic rel end points.

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