DISTANCE GRAPHS AND SETS OF POSITIVE UPPER DENSITY IN Rd

被引：11
|
作者：
Lyall, Neil [1 ]
Magyar, Akos [1 ]
机构：
[1] Univ Georgia, Dept Math, Athens, GA 30602 USA
来源：
ANALYSIS & PDE | 2020年 / 13卷 / 03期
基金：
美国国家科学基金会;
关键词：
distance graphs; uniformity norms; geometric Ramsey theory; SUBSETS; THEOREM;
D O I：
10.2140/apde.2020.13.685
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a refinement and sharp extension of a result of Bourgain on finding configurations of k+1 points in general position in measurable subset of R-d of positive upper density whenever d >= k + 1 to all proper k-degenerate distance graphs.
引用
收藏
页码：685 / 700
页数：16
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