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Show that if Y is compact, then the projection map : XXYX, 1(x, y) = x is a closed map (that is: images of
Show that if Y is compact, then the projection map : XXYX, 1(x, y) = x is a closed map (that is: images of closed sets are closed). (Hint: Consider using the Tube Lemma) Give a counterexample to show this is not necessarily true when Y is not compact.
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