Search results for "Cell decomposition"

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Quasianalytic Denjoy-Carleman classes and o-minimality

2003

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.

CombinatoricsClass (set theory)Mathematics::Complex VariablesApplied MathematicsGeneral MathematicsMathematics::Classical Analysis and ODEsClosure (topology)Resolution of singularitiesCell decompositionMathematicsReal fieldJournal of the American Mathematical Society
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