Journal of the
Korean Mathematical Society JKMS

We define the coincidence index of pairs of maps $p,$ $f : \tilde X \to X$ where $p$ is a covering of a polyhedron $X$. We use a polyhedral transversality Theorem due to T. Plavchak. When $p=identity$ we get the classical fixed point index of self map of polyhedra without using homology.

Keywords: fixed point index, Lefschetz number, covering map, PL-transversality

MSC numbers: 55M20