nLab
piecewise-linear manifold

Contents

Context

Manifolds and cobordisms

Geometry

Contents

Idea

A piecewise-linear manifold, or PL manifold for short, is a manifold whose transition functions are piecewise linear functions?.

References

See also

Branched covers:

Every nn-dimensional PL manifold is a branched cover of the n-sphere:

All PL 4-manifolds are simple branched covers of the 4-sphere:

The n-torus for n3n \geq 3 is not a cyclic branched cover of the n-sphere:

  • U. Hirsch, W. D. Neumann, On cyclic branched coverings of spheres, Math. Ann. (1975) 215: 289 (doi:10.1007/BF01343895)

Last revised on January 6, 2019 at 18:36:53. See the history of this page for a list of all contributions to it.