Question: 3 Q3 Let S1 = (R, data) be the standard metric space of real numbers, i.c. data (, y) = x -yl Let S2 =

3 Q3 Let S1 = (R, data) be the standard metric
3 Q3 Let S1 = (R, data) be the standard metric space of real numbers, i.c. data (, y) = \\x -yl Let S2 = (R, do) be the metric space whose elements are still the real numbers, but equips with a different distance function: do (x, y) = {1x / yox = y 1) Describe all the open subsets of S, and justify your answer. 2) Describe all the compact subsets of S, and justify your answer. 3Describe all the continuous functions f : S2 -> S, and justify your answer. 1) Describe all the continuous functions f : S1 -> $2 and justify your

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