# Thread: Show that A is nowhere dense

1. ## Show that A is nowhere dense

Show that A is nowhere dense

2. ## 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 $\mathcal{O}\not\subset A~.$