6533b860fe1ef96bd12c38b3

RESEARCH PRODUCT

Quasianalytic Denjoy-Carleman classes and o-minimality

Patrick SpeisseggerA. J. WilkieJean-philippe Rolin

subject

CombinatoricsClass (set theory)Mathematics::Complex VariablesApplied MathematicsGeneral MathematicsMathematics::Classical Analysis and ODEsClosure (topology)Resolution of singularitiesCell decompositionMathematicsReal field

description

We show that the expansion of the real field generated by the functions of a quasianalytic Denjoy-Carleman class is model complete and o-minimal, provided that the class satisfies certain closure conditions. Some of these structures do not admit analytic cell decomposition, and they show that there is no largest o-minimal expansion of the real field.

yearjournalcountryeditionlanguage
2003-03-21Journal of the American Mathematical Society
https://doi.org/10.1090/s0894-0347-03-00427-2