Date: Mar 18, 2013 4:50 AM
Author: William Elliot
Subject: Comparing Compactifactions

Let (f,X) and (y,Y) be compactifications of S.
Assume h in C(Y,X) and f = hg.

Thue h is a continuous surjection and when Y is Hausdorff
a closed quotient map.

k = h|g(S):g(S) -> f(S) is a continuous bijection.
It it a homeomorphism? If so, what's a proof like?