- Thread starter
- Moderator
- #1
- Jan 26, 2012
- 995
Here's this week's problem.
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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.
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Remember to read the POTW submission guidelines to find out how to submit your answers!
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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.
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Remember to read the POTW submission guidelines to find out how to submit your answers!