8 citations · 9 across the 4 of their papers we have counts for
4 papers
-minimality
R. Cluckers, F. Loeser
We introduce a new notion of tame geometry for structures admitting an abstract notion of balls. The notion is named b-minimality and is based on definable families of points and b…
Fonctions constructibles exponentielles, transformation de Fourier motivique et principe de transfert
R. Cluckers, F. Loeser
We introduce spaces of exponential constructible functions in the motivic setting for which we construct direct image functors in the absolute and relative cases. This allows us to…
Fonctions constructibles et intégration motivique II
R. Cluckers, F. Loeser
We extend the formalism of I to a global setting for which a theorem on fiber integrals and a Fubini theorem are obtained. We compare our formalism to the previous constructions of…
Fonctions constructibles et intégration motivique I
R. Cluckers, F. Loeser
We introduce a direct image formalism for constructible motivic functions. One deduces a very general version of motivic integration for which a change of variables theorem is prov…