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A compact manifold without boundary (cf. [[Boundary (of a manifold)|Boundary (of a manifold)]]). For example, the set of all boundary points of a $k$-dimensional compact manifold is a ($k-1$)-dimensional closed manifold.

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Closed manifold. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Closed_manifold&oldid=31772

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