no. 4
Implicit function theorem for locally blow-analytic functions
[Théorème des fonctions implicites pour les fonctions localement "blow-analytiques"]
Paunescu, Laurentiu1
1 University of Sydney, School of Mathematics and statistics, Sydney NSW 2006 (Australie)
Annales de l'Institut Fourier, Tome 51 (2001) no. 4, pp. 1089-1100.

Nous montrons le théorème des fonctions implicites pour les fonctions localement "blow- analytiques" et, comme application de l'utilisation des homéomorphismes "blow- analytiques", nous donnons une méthode très facile pour résoudre les singularités des courbes analytiques.

In this paper we prove the implicit function theorem for locally blow-analytic functions, and as an interesting application of using blow-analytic homeomorphisms, we describe a very easy way to resolve singularities of analytic curves.

DOI : 10.5802/aif.1846
Classification : 58C05, 58K99, 14Pxx
Keywords: blow-analytic, arc-analytic
Mot clés : blow-analytique, arc-analytique

Paunescu, Laurentiu 1

1 University of Sydney, School of Mathematics and statistics, Sydney NSW 2006 (Australie) 
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Paunescu, Laurentiu. Implicit function theorem for locally blow-analytic functions. Annales de l'Institut Fourier, Tome 51 (2001) no. 4, pp. 1089-1100. doi : 10.5802/aif.1846. https://aif.centre-mersenne.org/articles/10.5802/aif.1846/

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