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Let $X$ be a complete regular topologic space and let$\beta X$ denote the Stone-Cech compactification of . Show that every $z\in \beta X\setminus X$ is a limit point of X, but is not the limit of a sequence of points in .

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Six questions and still no acceptances? You’ll probably find people more willing to help if you can improve that accept rate. –  Brian M. Scott Nov 1 '12 at 13:18
Which construction of the Stone-Cech compactification are you using? If you are using the embedding into a product of intervals construction, the first part is trivial... –  Shawn Henry Nov 1 '12 at 14:53
@ege: You can find out how and why to accept answers here. Basically, you accept the answer that you found most helpful, and you do it by clicking on the grey arrow just under the number showing the vote total to the left of the answer. –  Brian M. Scott Nov 1 '12 at 17:51
You cannot vote, but you can accept. These are two different things. Click on the grey checkmark below the up and down arrows. –  Brian M. Scott Nov 3 '12 at 20:25
@Shawn: I’m afraid not. –  Brian M. Scott Nov 3 '12 at 20:25
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