Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661379 | Topology and its Applications | 2007 | 11 Pages |
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 Polishable subgroups of the infinite permutation group Sā.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology