6533b821fe1ef96bd127b709
RESEARCH PRODUCT
Nature log-analytique du volume des sous-analytiques
Jean-marie LionGeorges ComteJean-philippe Rolinsubject
Set (abstract data type)Mathematics::LogicMathematics::Algebraic GeometryMathematics::Complex VariablesFiber (mathematics)General MathematicsMathematical analysisLipschitz continuityStratification (mathematics)MathematicsVolume (compression)description
Using a preparation theorem for subanalytic functions and Lipschitz stratification for compact subanalytic sets we prove that volumes of slices of globally subanalytic sets and density have a log-analytic nature. We also prove that the set of parameters for which the volume of fiber is finite is globally subanalytic.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-12-01 | Illinois Journal of Mathematics |