Log-analytic nature of the volume of subanalytic sets

被引：27

作者：

Comte, G ^{[1
]}

Lion, JM

Rolin, JP

机构：

[1] Univ Nice, CNRS, UMR 6621, Lab Dieudonne, F-06108 Nice 2, France

[2] Univ Bourgogne, CNRS, UMR 5584, Lab Topol, F-21078 Dijon, France

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2000年 / 44卷 / 04期

关键词：

D O I：

10.1215/ijm/1255984698

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：884 / 888

页数：5

共 16 条

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