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What is the topological characteristic of a separable metric space $X$ such that $|kX\setminus X|=\frak{c}$ for any completion $kX$ of $X$?

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  • $\begingroup$ Note that if (CH) then $X$ is non-Polish. $\endgroup$
    – Alexander Osipov
    Commented Aug 8, 2022 at 8:09

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