Geodesic
A note on Bierstone–Milman–Pawłucki's paper “Composite differentiable functions”
Krzysztof Jan Nowak1
1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 102 (2011) no. 3, pp. 293-299

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

We demonstrate that the composite function theorems of Bierstone–Milman–Pawłucki and of Glaeser carry over to any polynomially bounded, o-minimal structure which admits smooth cell decomposition. Moreover, the assumptions of the o-minimal versions can be considerably relaxed compared with the classical analytic ones.
DOI : 10.4064/ap102-3-8
Mots-clés : demonstrate composite function theorems bierstone milman paw ucki glaeser carry polynomially bounded o minimal structure which admits smooth cell decomposition moreover assumptions o minimal versions considerably relaxed compared classical analytic

Krzysztof Jan Nowak 1

1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland 
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Krzysztof Jan Nowak. A note on Bierstone–Milman–Pawłucki's
 paper “Composite differentiable functions”. Annales Polonici Mathematici, Tome 102 (2011) no. 3, pp. 293-299. doi: 10.4064/ap102-3-8

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