Topologically nowhere dense set

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Topologically nowhere dense set

Formulation 0

Let $T = (X, \mathcal{T})$ be a D1106: Topological space such that

(i)	$E \subseteq X$
(ii)	$\text{cl} E$ is a D88: Set closure for $E$ in $T$

Then $E$ is topologically nowhere dense in $T$ if and only if \begin{equation} \text{int}(\text{cl} E) = \emptyset \end{equation}