# Definition:Closed Set/Real Analysis/Real Euclidean Space

< Definition:Closed Set | Real Analysis(Redirected from Definition:Closed Subset of Real Euclidean Space)

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## 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

- Results about
**closed sets**can be found**here**.

## Sources

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