Home > Measure Theory, Real Analysis > Enumeration of the rationals

Enumeration of the rationals


Does there exist an enumeration \{r_n\} of the rationals such that the complement of \displaystyle \bigcup_{n=1}^\infty \left( r_n-\frac{1}{n},r_n+\frac{1}{n}\right) in \mathbb{R} is non-empty?

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