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