- Thread starter
- Moderator
- #1

- Jan 26, 2012

- 995

-----

**Problem**: Let $X$ and $Y$ be two non-empty topological spaces. Show that the product space $X\times Y$ is Hausdorff if and only if $X$ and $Y$ are Hausdorff.

-----

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