Mild parametrizations of power-subanalytic sets

被引：0
|
作者：
Van Hille, Siegfried [1 ]
机构：
[1] Katholieke Univ Leuven, Dept Math, Celestijnenlaan 200B, B-3001 Leuven, Belgium
来源：
ANNALS OF PURE AND APPLIED LOGIC | 2022年 / 173卷 / 06期
关键词：
Subanalytic sets; Parametrization; Rational points of bounded height; RATIONAL-POINTS; VOLUME GROWTH; MAPPINGS;
D O I：
10.1016/j.apal.2022.103105
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain two uniform parametrization theorems for families of bounded sets definable in R-an(R). Let X = {X-t subset of (0, 1)(n) vertical bar t is an element of T} be a definable family of sets X-t of dimension at most m. Firstly, X-t admits a C-r-parametrization consisting of cr(m) maps for some positive constant c = c(X), which is uniform in t. Secondly, X-t admits a C-mild parametrization for any C > 1, which is also uniform in t. (C) 2022 Elsevier B.V. All rights reserved.
引用
收藏
页数：19
相关论文
共 50 条
12345