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Apr 14, 2012 at 21:42 comment added Ralph A property, related to your last sentence, is that if $X$ is normal and $A$ a closed subset of $X$ then the closure of $A$ in $\beta X$ is homeomorphic to $\beta A$. For a nice application see mathoverflow.net/questions/90146/….
Apr 14, 2012 at 21:12 history answered Douglas Somerset CC BY-SA 3.0