# continuous discrete open map and topological dimension

Is there anyone who can help me to answer this question :

Let $\Omega$ be an open bounded and connected set of $\mathbb{R}^n$. Let $A\subset \Omega$ be a closed set of Lebesgue measure zero and whose topological dimension is $\leqslant n-2$. Is $\Omega \setminus A$ connected ?

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