= Closed manifold
{wiki=Closed_manifold}
A **closed manifold** is a type of manifold that is both compact and without boundary. More specifically, a manifold \\( M \\) is called closed if it satisfies the following conditions: 1. **Compact**: This means that the manifold is a bounded space that is also complete, meaning that every open cover of the manifold has a finite subcover. In simple terms, a compact manifold is one that is "finite" in a sense and can be covered by a finite number of open sets.
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