Subgroups of monothetic groups

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dc.creatorMorris, Sidney A.
dc.creatorPestov, Vladimir
dc.date1999-07-21
dc.date.accessioned2026-07-07T08:27:02Z
dc.date.available2026-07-07T08:27:02Z
dc.descriptionIt is shown that every separable abelian topological group is isomorphic with a topological subgroup of a monothetic group (that is, a topological group with a single topological generator). In particular, every separable metrizable abelian group embeds into a metrizable monothetic group. More generally, we describe all topological groups that can be embedded into monothetic groups: they are exactly abelian topological groups of weight $\leq\frak c$ covered by countably many translations of every nonempty open subset.
dc.description10 pages, LaTeX 2e
dc.identifierhttps://arxiv.org/abs/math/9907128
dc.identifierhttp://arxiv.org/abs/math/9907128
dc.identifierJournal of Group Theory 3 (2000), 407-417.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137142
dc.subjectGeneral Topology
dc.subjectGroup Theory
dc.subject22A05
dc.titleSubgroups of monothetic groups
dc.typetext

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