Triangulation of the map of a $G$-manifold to its orbit space

Mitsutaka Murayama, Masahiro Shiota

Let $G$ be a Lie group and $M$ a smooth proper $G$-manifold. Let $pi:MtoM/G$ denote the natural map to the orbit space. Then there exist a PL manifold $P$, a polyhedron $L$ and ho…