Finite c0-determinacy of real analytic map germs with isolated instability

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J. A. Moya-Pérez
Universitat de València. Departament de Matemàtiques
Juan José Nuño Ballesteros
Universitat de València. Departament de Matemàtiques
https://orcid.org/0000-0001-6725-541X

Let f : (Rn; 0) (Rp; 0) be a real analytic map germ with isolated instability. We prove that if n = 2 and p = 2; 3, then f is finitely C0-determined. This result can be seen as a weaker real counterpart of Mather-Gaffney finite determinacy criterion.

Paraules clau
finite determinacy, topological classification, Lojasiewicz inequality

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Moya-Pérez, J. A.; Nuño Ballesteros, Juan José. «Finite c0-determinacy of real analytic map germs with isolated instability». Publicacions Matemàtiques, 2020, vol.VOL 64, núm. 2, p. 563-75, http://raco.cat/index.php/PublicacionsMatematiques/article/view/371202.
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