Stone-Čech compactification of the natural numbers
= Stone-Čech compactification of the natural numbers
{c}
{title2=$\beta\mathbb N$}
{wiki=Stone–Čech_compactification}
The Stone-Cech compactification $\beta\mathbb N$ can be identified with the space of ultrafilters on $\mathbb N$. Its basic clopen sets are $\bar A=\{\mathcal U:A\in\mathcal U\}$.