Let (R2, d) and (R2, d) be metric spaces, where for two points P1 = (x1, y1) and P2
Chapter 16, Problem 16.9(choose chapter or problem)
Let (R2, d) and (R2, d) be metric spaces, where for two points P1 = (x1, y1) and P2 =(x2, y2) in R2, d(P1, P2) = (x1 x2)2 + (y1 y2)2 and d(P1, P2) = |x1 x2| + |y1 y2|.Prove each of the following.(a) Every open set in (R2, d) is open in (R2, d).(b) Every open set in (R2, d) is open in (R2, d).
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