Gauss words and the topology of map germs from to

  • Juan Antonio Moya-Pérez

    Universitat de València, Burjassot (Valencia), Spain
  • Juan José Nuño Ballesteros

    Universitat de València, Burjassot (Valencia), Spain

Abstract

The link of a real analytic map germ is obtained by taking the intersection of the image with a small enough sphere centered at the origin in . If is finitely determined, then the link is a stable map from to . We define Gauss words which contains all the topological information of the link in the case that the singular set is connected and we prove that in this case they provide us with a complete topological invariant.

Cite this article

Juan Antonio Moya-Pérez, Juan José Nuño Ballesteros, Gauss words and the topology of map germs from to . Rev. Mat. Iberoam. 31 (2015), no. 3, pp. 977–988

DOI 10.4171/RMI/860