Graev ultrametrics and surjectively universal non-Archimedean Polish groups
type: Item
instance of: scholarly article
title: Graev ultrametrics and surjectively universal non-Archimedean Polish groups
zbMATH Open document ID: 1260.03090
author: Su Gao
published in: Topology and its Applications
publication date: 2013-04-11T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 03E15
Mathematics Subject Classification ID: 46B10
Mathematics Subject Classification ID: 54H05
Mathematics Subject Classification ID: 46B99
zbMATH DE Number: 6153065
zbMATH Keywords: non-Archimedean Polish group
zbMATH Keywords: universal
zbMATH Keywords: surjectively universal
zbMATH Keywords: Graev metric
zbMATH Keywords: Graev ultrametric
reviewed by: Longyun Ding
MaRDI profile type: Publication
full work available at URL: j.topol.2013.02.009
OpenAlex ID: W2118180260
DOI: 10.1016/J.TOPOL.2013.02.009
description: scientific article; zbMATH DE number 6153065