Let a and b be two subsets of a metric space r then the
Let A and b be two subsets of a metric space R. Then the number P(A,B)=infP(a,b) (where a is in A, b is in B,) is called the distance between A and B. Show that P(A,B0=0 if A intersect B does not equal to an empty set, but not conversely.
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