Question: Consider the closed curve y: [0, 27] - C {0} given by y(t) = 2 cos 2t + i sin 2t. Prove that y is

$Consider the closed curve y: [0, 27] - C\\ {0} given$

Consider the closed curve y: [0, 27] - C\\ {0} given by y(t) = 2 cos 2t + i sin 2t. Prove that y is not contractible (i.e. not homotopic to a point ) in CHO}

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Consider the closed curve y: [0, 27] C\{0} given by y(t) 2 cos 2t + i sin 2t. Prove that y is not contractible (i.e. not homotopic to a point) in C\{0}.

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