Building suitable sets for locally compact groups by means of continuous selections

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dc.creatorShakhmatov, Dmitri
dc.date2008-12-02
dc.date2008-12-04
dc.date.accessioned2026-07-07T13:00:06Z
dc.date.available2026-07-07T13:00:06Z
dc.descriptionIf a discrete subset S of a topological group G with the identity 1 generates a dense subgroup of G and S \cup {1} is closed in G, then S is called a suitable set for G. We apply Michael's selection theorem to offer a direct, self-contained, purely topological proof of the result of Hofmann and Morris on the existence of suitable sets in locally compact groups. Our approach uses only elementary facts from (topological) group theory.
dc.descriptionNo changes except page layout. 11 pages. To appear in: Topology and its Applications
dc.identifierhttps://arxiv.org/abs/0812.0489
dc.identifierhttp://arxiv.org/abs/0812.0489
dc.identifierTopology and its Applications, 156 (2009), 1216-1223
dc.identifierdoi:10.1016/j.topol.2008.12.009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225761
dc.subjectGeneral Topology
dc.subjectGroup Theory
dc.subject22D05 (Primary); 22A05, 22C05, 54A25, 54B05, 54B35, 54C60, 54C65, 54D30, 54D45, 54H11 (Secondary)
dc.titleBuilding suitable sets for locally compact groups by means of continuous selections
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