Gauss words and the topology of map germs from R3 to R3

  1. Juan Antonio Moya-Pérez 1
  2. Juan José Nuño-Ballesteros 1
  1. 1 Universitat de València
    info

    Universitat de València

    Valencia, España

    ROR https://ror.org/043nxc105

Journal:
Revista matemática iberoamericana

ISSN: 0213-2230

Year of publication: 2015

Volume: 31

Issue: 3

Pages: 977-988

Type: Article

DOI: 10.4171/RMI/860 DIALNET GOOGLE SCHOLAR

More publications in: Revista matemática iberoamericana

Abstract

The link of a real analytic map germ f:(R3,0)→(R3,0) is obtained by taking the intersection of the image with a small enough sphere S2ϵ centered at the origin in R3. If ff is finitely determined, then the link is a stable map γγ from S2 to S2. We define Gauss words which contains all the topological information of the link in the case that the singular set S(γ) is connected and we prove that in this case they provide us with a complete topological invariant.

Data source: Dialnet