Let I = [0, 1], the closed unit interval on the real line. Then 1x1 =...

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Let I = [0, 1], the closed unit interval on the real line. Then 1x1 = 1 is the unit square in R2. Show that there exists a continuous function f: 1 I which is subjective, i.e. the image of f is the square. Let I = [0, 1], the closed unit interval on the real line. Then 1x1 = 1 is the unit square in R2. Show that there exists a continuous function f: 1 I which is subjective, i.e. the image of f is the square.

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