- Thread starter
- Moderator
- #1

- Jun 20, 2014

- 1,925

-----

Suppose $X$ is compact Hausdorff. If $S$ is a subset of $X$ and $O$ is an open set in $X$ with $\overline{S} \subset O$, prove that there is another open set $V$ in $X$ with $\overline{S} \subset V \subset \overline{V} \subset O$.

-----

Remember to read the POTW submission guidelines to find out how to submit your answers!