Talk:Proper map

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[edit] Caveat emptor

The statement

• If f : X → Y is a proper continuous map and Y is a compactly generated Hausdorff space then f is closed.

is one I proved myself. I'm not aware of a reference, but surely one exists. At any rate, it is an improvement over the prior version (which had first-countable in place of CGHaus) both in generality and correctness (the Hausdorff condition is necessary here). -- Fropuff 07:15, 6 December 2006 (UTC)