A note on Bierstone-Milman-Pawłucki's paper "Composite differentiable functions"
Krzysztof Jan Nowak
Annales Polonici Mathematici, Tome 101 (2011), p. 293-299 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:280570 
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Krzysztof Jan Nowak. A note on Bierstone-Milman-Pawłucki's paper "Composite differentiable functions". Annales Polonici Mathematici, Tome 101 (2011) pp. 293-299. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap102-3-8/