Does there exist an incomplete metric space whose metric topology is discrete ( not the discrete metric ) ? Please help . Thanks in advance
2026-03-28 05:28:53.1774675733
Looking for an incomplete metric space $X$ , all whose singletons are open
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Look at the subset $X = \{\frac{1}{n} \mid n\in\mathbb{Z_+}\}$ of $\mathbb{R}$.