, 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
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. }}