Displaying similar documents to “Implicit function theorem for locally blow-analytic functions”

Constructing blow-analytic isomorphisms

Toshizumi Fukui, Tzee-Char Kuo, Laurentiu Paunescu (2001)

Annales de l’institut Fourier

Similarity:

In this paper we construct non-trivial examples of isomorphisms and we obtain, via toric modifications, an inverse function theorem in this category. We also show that any analytic curve in ℝ n , n ≥ 3 , can be deformed via a rational blow- analytic isomorphism of ℝ n , to a smooth analytic arc.