ON POLISH GROUPS ADMITTING A COMPATIBLE COMPLETE LEFT-INVARIANT METRIC

被引：8

作者：

Malicki, Maciej ^{[1
]}

机构：

[1] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland

来源：

JOURNAL OF SYMBOLIC LOGIC | 2011年 / 76卷 / 02期

关键词：

D O I：

10.2178/jsl/1305810757

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the set of all Polish groups admitting a compatible complete left-invariant metric (called CLI) is coanalytic non-Borel as a subset of a standard Borel space of all Polish groups. As an application of this result, we show that there does not exist a weakly universal CLI group. This, in particular, answers in the negative a question of H. Becker.

引用

页码：437 / 447

页数：11

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