Question: Let X = {x R : 0 x < 2} be a half-open interval in (R, TEuc) equipped with the subspace topology and let Y

Let X = {x R : 0 x < 2} be a half-open interval in (R, TEuc) equipped with the subspace topology and let Y = {(x, y) R 2 : x 2 + y 2 = 1} be the unit circle in (R 2 , TEuc) equipped with the subspace topology. Consider a function f : X Y, t (cost,sin t)

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