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Math Help - Show that A is nowhere dense

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    Show that A is nowhere dense

    Show that A is nowhere dense
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  2. #2
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    Re: Show that A is nowhere dense

    Given that A\subset\overline{(X\setminus\overline{A})}.
    If t\in A then t is a point of (X\setminus\overline{A}) or a limit point of that set.
    Find an open set, \mathcal{O}, containing t but \mathcal{O}\not\subset A~.
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