Definition:Closed Set/Real Analysis/Real Euclidean Space

Definition

Let $n \ge 1$ be a natural number.

Let $S \subseteq \R^n$ be a subset.

Then $S$ is closed (in $\R^n$) if and only if its complement $\R^n \setminus S$ is an open set.

Also see

• Definition:Open Subset of Real Euclidean Space
• Definition:Neighborhood in Real Euclidean Space

• Results about closed sets can be found here.

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