Let y: [0,1] C be a closed path. Let p be the same path traversed...

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Let y: [0,1] → C be a closed path. Let ºp be the same path traversed in the opposite direction, i.e. 7°⁹ (t) = y(1 – t). Let a be any point not on y. Given two closed paths 71, 72: [0, 1] → C with 72 (0) = 71(1) their concatentation 1 * 72: [0, 2] → C is defined as 71 * 72 (t) = In(t) for t = [0, 1] [2(t-1) for t€ [1, 2] = Let UC C be open and let y: [0, 1] → U be a closed path. Prove that yop is homotopic to a constant path rel end points. Y Let y: [0,1] → C be a closed path. Let ºp be the same path traversed in the opposite direction, i.e. 7°⁹ (t) = y(1 – t). Let a be any point not on y. Given two closed paths 71, 72: [0, 1] → C with 72 (0) = 71(1) their concatentation 1 * 72: [0, 2] → C is defined as 71 * 72 (t) = In(t) for t = [0, 1] [2(t-1) for t€ [1, 2] = Let UC C be open and let y: [0, 1] → U be a closed path. Prove that yop is homotopic to a constant path rel end points. Y