3. (Proposition 3.5.1(ii)) Let (X, d) be a metric space, and let 0 + A Ç X. Show that a subset H C A is closed in (A, dA
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3. (Proposition 3.5.1(ii)) Let (X, d) be a metric space, and let 0 + A Ç X. Show that a subset H C A is closed in (A, dA
3. (Proposition 3.5.1(ii)) Let (X, d) be a metric space, and let 0 + A Ç X. Show that a subset H C A is closed in (A, dA) if and only if H = F n A for some closed set F in (X, d).
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