Geodesic
Blow Analytic Mappings and Functions
Canadian mathematical bulletin, Tome 36 (1993) no. 4, pp. 497-506

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DOI

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.
DOI : 10.4153/CMB-1993-065-1
Mots-clés : 58C27, 58A07 
Yoshinaga, Etsuo. Blow Analytic Mappings and Functions. Canadian mathematical bulletin, Tome 36 (1993) no. 4, pp. 497-506. doi: 10.4153/CMB-1993-065-1
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     title = {Blow {Analytic} {Mappings} and {Functions}},
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     year = {1993},
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     doi = {10.4153/CMB-1993-065-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-065-1/}
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