Compact domination for groups definable in linear o-minimal structures

被引：0

作者：

Pantelis E. Eleftheriou

机构：

[1] CMAF,

[2] Universidade de Lisboa,undefined

来源：

Archive for Mathematical Logic | 2009年 / 48卷

关键词：

O-minimal structures; Definably compact groups; Compact domination; 03C64; 22C05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove the Compact Domination Conjecture for groups definable in linear o-minimal structures. Namely, we show that every definably compact group G definable in a saturated linear o-minimal expansion of an ordered group is compactly dominated by (G/G00, m, π), where m is the Haar measure on G/G00 and π : G → G/G00 is the canonical group homomorphism.

引用

页码：607 / 623

页数：16

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