Article ID Journal Published Year Pages File Type
4666263 Advances in Mathematics 2012 16 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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