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
收藏
页码：437 / 447
页数：11
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