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

• Autorzy: Krzysztof Jan Nowak
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 32B20: Semi-analytic sets and subanalytic sets
• 14P15: Real analytic and semianalytic sets
• 26E10: C ∞ -functions, quasi-analytic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 102
• Numer: 3
• Strony: 293-299

Daty

wydano

2011

Twórcy

autor

Krzysztof Jan Nowak

• Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/ap102-3-8