On a universality property of some abelian Polish groups

Simple item page
dc.creatorGao, Su
dc.creatorPestov, Vladimir
dc.date2002-05-28
dc.date.accessioned2026-07-07T08:26:58Z
dc.date.available2026-07-07T08:26:58Z
dc.descriptionWe show that every abelian Polish group is the topological factor-group of a closed subgroup of the full unitary group of a separable Hilbert space with the strong operator topology. It follows that all orbit equivalence relations induced by abelian Polish group actions are Borel reducible to some orbit equivalence relations induced by actions of the unitary group.
dc.description16 pages, LaTeX 2e
dc.identifierhttps://arxiv.org/abs/math/0205291
dc.identifierhttp://arxiv.org/abs/math/0205291
dc.identifierFundamenta Mathematicae 179 (2003), 1-15.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137125
dc.subjectGeneral Topology
dc.subjectLogic
dc.subjectPrimary 22A05, 54H05; Secondary 22A25, 43A35, 47D03, 54H15
dc.titleOn a universality property of some abelian Polish groups
dc.typetext

Files

Collections

arXiv