RAMSEY FUNCTIONS FOR SYMMETRIC SUBSETS IN COMPACT ABELIAN GROUPS

被引：0

作者：

Korostenski, Mareli ^{[1
]}

Zelenyuk, Yuliya ^{[1
]}

机构：

[1] Univ Witwatersrand, Sch Math, ZA-2050 Wits, South Africa

来源：

QUAESTIONES MATHEMATICAE | 2010年 / 33卷 / 02期

关键词：

Compact Abelian group; symmetric subset; Ramsey theory;

D O I：

10.2989/16073606.2010.490992

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a compact group G and r is an element of N, let s(r)(G) denote the least upper bound of real epsilon > 0 such that for every measurable r-coloring of G, there exists a monochrome symmetric subset of measure >= epsilon. A subset A subset of G is symmetric if there exists g is an element of G such that gA(-1) g = A. We give a general picture of asymptotic behaviour of the function s(r)(G) for compact Abelian groups.

引用

页码：161 / 169

页数：9