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 C X Show That A Subset H C A Is Closed In A Da 1 (32.36 KiB) Viewed 69 times

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).