- Thread starter
- Moderator
- #1
- Jan 26, 2012
- 995
Here's this week's problem.
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Problem: Let $X$ be a completely regular topological space, but not compact. Determine whether the Stone–Čech compactification $\beta(X)$ is metrizable or not.
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Hint:
Remember to read the POTW submission guidelines to find out how to submit your answers!
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Problem: Let $X$ be a completely regular topological space, but not compact. Determine whether the Stone–Čech compactification $\beta(X)$ is metrizable or not.
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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!