Topological equivalence of finitely determined real analytic plane-to-plane map germs

• Autores: Olav Skutlaberg
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 109, Nº 2, 2011, págs. 161-184
• Idioma: inglés
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• Resumen

  • Generic smooth map germs (R2,0)→(R2,0) are topologically equivalent to cones of mappings S1→S1. We carry out a complete topological classification of smooth stable mappings of the circle and show how this classification leads, via the result mentioned above, to a topological classification of finitely determined real analytic map germs (R2,0)→(R2,0).