Contents

# Contents

## Idea

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

## References

Branched covers:

Every $n$-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 $n \geq 3$ 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 April 5, 2020 at 15:04:23. See the history of this page for a list of all contributions to it.