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Difference between revisions of "Closed manifold"

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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 <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c022/c022550/c0225501.png" />-dimensional compact manifold is a (<img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c022/c022550/c0225502.png" />)-dimensional closed manifold.
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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.

Latest revision as of 10:35, 16 April 2014

A compact manifold without boundary (cf. 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.

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