Graev ultrametrics and surjectively universal non-Archimedean Polish groups
This paper is a contribution to the study of the existence of surjectively universal for subclasses of non-Archimedean Polish groups, i.e., Polish groups which are isomorphic to closed subgroups of \(S_\infty\). The author recall the proofs of the existence of surjectively universal for Polish groups [\textit{L. Ding}, Adv. Math. 231, No. 5, 2557--2572 (2012; Zbl 1257.03076)], Polish groups with two-sided invariant metrics, and abelian Polish groups. Then, via a smart modify on these proofs, the author show the existence of surjectively universal for three similar classes for non-Archimedean Polish groups.
scientific article; zbMATH DE number 6153065