- Thread starter
- Moderator
- #1
- Jan 26, 2012
- 995
Here's this week's problem.
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Problem: Let $X$ be a topological space, and suppose that $X$ is compact. Show that compactness implies limit point compactness, but not conversely (i.e. one does not have limit point compactness imply compactness). Under what condition is the converse true?
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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 $X$ be a topological space, and suppose that $X$ is compact. Show that compactness implies limit point compactness, but not conversely (i.e. one does not have limit point compactness imply compactness). Under what condition is the converse true?
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Remember to read the POTW submission guidelines to find out how to submit your answers!