- Thread starter
- Moderator
- #1

- Jan 26, 2012

- 995

-----

**Problem**: Let $X$ be a completely regular topological space, but not compact. Determine whether the Stone–Čech compactification $\beta(X)$ is metrizable or not.

-----

**Hint**:

First determine if $\beta(X)$ is limit point compact.

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