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## Nowhere dense of linear subspace of at most n-1

Real Analysis
Ram_1729
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### Nowhere dense of linear subspace of at most n-1

Let $W\subset \mathbb{R}^n$ be a linear subspace of dimension at most $n-1$. Which of the following statements are true ??
a)$W$ is nowhere dense
b)$W$ is closed
c)$\mathbb{R}^n-W$ is connected
d)$\mathbb{R}^n-W$ is not connected