Difference between revisions of "Closed manifold"
From Encyclopedia of Mathematics
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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 | + | {{TEX|done}} |
+ | 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=12412
Closed manifold. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Closed_manifold&oldid=12412