New metrics on free groups

作者：Ding, Longyun; Gao, Su^*

来源：Topology and Its Applications, 2007, 154(2): 410-420.

DOI：10.1016/j.topol.2006.05.006

• free group
• Graev metric
• Polishable subgroup
• surjectively universal

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 Pi(0)(3) Polishable subgroups of the infinite permutation group S-infinity.

• 出版日期2007-1-15
• 单位南开大学