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

• Juan Antonio Moya-Pérez ^[1] ; Juan José Nuño-Ballesteros ^[1]
  1. [1] Universitat de València

     Universitat de València

     Valencia, España

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 31, Nº 3, 2015, págs. 977-988
• Idioma: inglés
• DOI: 10.4171/RMI/860
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.