Some remarks about the topology of corank 2 map germs from R^2 to R^2

Abstract

Let f : (R 2 , 0) → (R 2 , 0) be a finitely determined map germ. The link of f is obtained by taking a small enough representative f : U ⊂ R 2 → R 2 and the intersection of its image with a small enough sphere S 1 centered at the origin in R 2. We will use Gauss words to classify topologically corank 2 map germs. In particular, we will center our attention in map germs that belong to the Thom-Boardman class Σ 2,0 .