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Difference between revisions of "Is the inverse of a continuous function always continuous?"
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Latest revision as of 09:25, 3 September 2011
Question: Is the inverse $f^{-1}$ of a continuous function $f: X \rightarrow Y$ always continuous, assuming $f$ is invertible?
Answer: No, in general. Yes, if $X$ is compact and $Y$ is Hausdorff.
