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$f: X \to Y$ is a submersion, $X$ is compact and $Y$ is connected - why $f(X)$ is open?

Assume I have proved that for an open set $U \subset X$, $f(U)$ is open.

Thank you.

WishingFish
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1 Answers1

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For any topological space $X$, $X \subseteq X$ is open.

fuglede
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