Geodesic
Weierstrass division theorem in definable $C^{\infty}$ germs in a polynomially bounded o-minimal structure
Abdelhafed Elkhadiri1 ; Hassan Sfouli1
1 Department of Mathematics Faculty of Sciences University Ibn Tofail BP 133 Kénitra, Morocco
Annales Polonici Mathematici, Tome 89 (2006) no. 2, pp. 127-137.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We give some examples of polynomially bounded o-minimal expansions of the ordered field of real numbers where the Weierstrass division theorem does not hold in the ring of germs, at the origin of $\mathbb{R}^n$, of definable $C^{\infty}$ functions.
DOI : 10.4064/ap89-2-2
Keywords: examples polynomially bounded o minimal expansions ordered field real numbers where weierstrass division theorem does ring germs origin mathbb definable infty functions

Abdelhafed Elkhadiri 1 ; Hassan Sfouli 1

1 Department of Mathematics Faculty of Sciences University Ibn Tofail BP 133 Kénitra, Morocco 
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 germs in a polynomially bounded o-minimal structure},
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 germs in a polynomially bounded o-minimal structure
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 germs in a polynomially bounded o-minimal structure
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Abdelhafed Elkhadiri; Hassan Sfouli. Weierstrass  division theorem in definable 
$C^{\infty}$
 germs in a polynomially bounded o-minimal structure. Annales Polonici Mathematici, Tome 89 (2006) no. 2, pp. 127-137. doi : 10.4064/ap89-2-2. http://geodesic.mathdoc.fr/articles/10.4064/ap89-2-2/

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