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Question: supplement let xd be a metric space with metric space...

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Supplement Let (X,d) be a metric space with metric space. (1) Show that for any E C X, Int (E) = Int (Int(E). (2) show E = E. (3) Let Y C X be a metric space with the metric given by restricting d to Y. Show that for any y є Y and r > 0, the ball centered at y of radius r in Y B(y, r) is the set B(u,r)nY.

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