Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4666263 | Advances in Mathematics | 2012 | 16 Pages |
Abstract
A Polish group is surjectively universal if it can be continuously homomorphically mapped onto every Polish group. Making use of a type of new metrics on free groups by Ding and Gao (2007) [3], we prove the existence of surjectively universal Polish groups, answering in the positive a question of Kechris. In fact, we give several examples of surjectively universal Polish groups.We find a sufficient condition to guarantee that the new metrics on free groups can be computed directly. We also compare this condition with CLI groups.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Longyun Ding,