Let C([0, 1]) denote the set of all continuous functions f : [0, 1] → R, and let Qn (0, 1] = {r1,r2, r3, - ..} be an enumeration of the set of rational numbers in [0, 1]. For f and g in C([0, 1]), define d(f, g) = 2lf(r:) – g(r:)|. i=0

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