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In mathematics, a piecewise linear (PL) manifold is a topological manifold together with a piecewise linear structure on it. Such a structure can be defined by means of an atlas, such that one can pass from chart to chart in it by piecewise linear functions.## See also

## References

Smooth manifolds have PL structures, but PL manifolds do not always have smooth structures.

- Rudyak, Yuli B. (2001). "Piecewise linear structures on topological manifolds". 0105047. }}

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Last updated on Wednesday November 15, 2006 at 19:20:53 PST (GMT -0800)

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This article is licensed under the GNU Free Documentation License.

Last updated on Wednesday November 15, 2006 at 19:20:53 PST (GMT -0800)

View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation

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