- Thread starter
- Moderator
- #1
- Jan 26, 2012
- 995
Here's this week's problem.
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Problem: Let $f:X\rightarrow Y$ be a bijective continuous function between topological spaces $X$ and $Y$. If $X$ is compact and $Y$ is Hausdorff, show that $f$ is a homeomorphism.
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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 $f:X\rightarrow Y$ be a bijective continuous function between topological spaces $X$ and $Y$. If $X$ is compact and $Y$ is Hausdorff, show that $f$ is a homeomorphism.
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Remember to read the POTW submission guidelines to find out how to submit your answers!