Timeline for Is $ \{ \frac{1}{n} + \frac{1}{m} : n,m \in \mathbb{N} \}$ dense in some interval of $\mathbb{R}$?
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| Nov 15, 2019 at 9:04 | comment | added | YCor | The same argument shows that for any sequences $(u_n),(v_n)$ tending to zero (and with infinite image), the only limit points of $\{u_n+v_m,n,m\ge 0\}$ are $\{0\}\cup\{u_n:n\ge 0\}\cup\{v_n:n\ge 0\}$ (and same for finitely many sequences). | |
| Nov 15, 2019 at 7:48 | history | answered | Bjørn Kjos-Hanssen | CC BY-SA 4.0 |