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Hi I am having problems with this:

Let $X$ be a countable discrete topological space $\{0,1 \}$, I need to find a dense countable set in $X$, but don´t know which se could be work, thanks for the help.

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    Do you really mean that $X$ is the two-point space $\{0,1\}$?2012-10-26
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    Your title doesn't match your question.2012-10-26
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    Why the word product in the title?2012-10-26
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    X is a countable product of discrete spaces Xi, where Xi={0,1}2012-10-26
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    @MattN.: Ali may have intended to ask about $\{0,1\}^\omega$ and expressed it very badly.2012-10-26
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    @Ali: Then edit your question to *say* that, rather than something completely different.2012-10-26

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