Re: open continuous function between T2 compact spaces
- From: William Elliot <marsh@xxxxxxxxxxxxxxxxxx>
- Date: Thu, 25 Oct 2007 01:47:26 -0700
On Thu, 25 Oct 2007, Jose Capco wrote:
f: X --> Y is a continuous open surjection between compact and
hausdorff spaces then for some subset U of Y
f(cl(f^{-1}(U))) = cl(U)
If surjective f in C(X,Y), then for all closed K subset Y
f(cl f^-1(K)) = ff^-1(K) = K = cl K
.
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