Question: A topological space is said to be normal if, for any pair of disjoint closed sets S1 and S2, there exist open sets (neighborhoods) T1

A topological space is said to be normal if, for any pair of disjoint closed sets S1 and S2, there exist open sets (neighborhoods) T1 ⊃ S1 and T2 ⊃ S2 such that T1 ∩ T2 = ∅. Show that any metric space is normal.

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