On surjectively universal Polish groups
  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 \cite{DG}, 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. 
Longyun Ding
math.LO