Title of article
New metrics on free groups
Author/Authors
Ding، نويسنده , , Longyun and Gao، نويسنده , , Su، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2007
Pages
11
From page
410
To page
420
Abstract
We define some new metrics on free groups and obtain a class of Polish groups by taking appropriate metric completions so that every Polish group is the quotient group of some one in the class. Moreover, we show that the resulting groups can be taken to be Π 3 0 Polishable subgroups of the infinite permutation group S ∞ .
Keywords
free group , Surjectively universal , Graev metric , Polishable subgroup
Journal title
Topology and its Applications
Serial Year
2007
Journal title
Topology and its Applications
Record number
1581114
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