A note on Bierstone-Milman-Pawlucki's paper "Composite differentiable functions"

作者：Nowak Krzysztof Jan^*

来源：Annales Polonici Mathematici, 2011, 102(3): 293-299.

DOI：10.4064/ap102-3-8

• composite function property
• smooth stratifications
• smooth cell decompositions
• polynomially bounded structures

We demonstrate that the composite function theorems of Bierstone-Milman-Pawlucki 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.

• 出版日期2011