Blow Analytic Mappings and Functions

Yoshinaga, Etsuo

Canadian mathematical bulletin, Tome 36 (1993) no. 4, pp. 497-506

Résumé

Let π: M —> Rn be the blowing-up of Rn at the origin. Then a continuous map-germ f: (Rn — 0,0) —> Rm is called blow analytic if there exists an analytic map-germ such that Then an inverse mapping theorem for blow analytic mappings as a generalization of classical theorem is shown. And the following is shown. Theorem: The analytic family of blow analytic functions with isolated singularities admits an analytic trivialization after blowing-up.

Détail

DOI : 10.4153/CMB-1993-065-1

Mots-clés : 58C27, 58A07

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