Locally compact abelian groups admitting non-trivial quasi-convex null sequences
| dc.creator | Dikranjan, Dikran | |
| dc.creator | Lukács, Gábor | |
| dc.date | 2008-12-31 | |
| dc.date.accessioned | 2026-07-07T12:23:43Z | |
| dc.date.available | 2026-07-07T12:23:43Z | |
| dc.description | In this paper, we show that for every locally compact abelian group G, the following statements are equivalent: (i) G contains no sequence {x_n} such that {0} \cup {\pm x_n : n \in N} is infinite and quasi-convex in G, and x_n --> 0; (ii) one of the subgroups {g \in G : 2g=0 and {g \in G : 3g=0} is open in G; (iii) G contains an open compact subgroup of the form Z_2^κor Z_3^κfor some cardinal κ. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/0901.0132 | |
| dc.identifier | http://arxiv.org/abs/0901.0132 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214085 | |
| dc.subject | General Topology | |
| dc.subject | 22B05, 22C05 (Primary), 22A05, 54H11 (Secondary) | |
| dc.title | Locally compact abelian groups admitting non-trivial quasi-convex null sequences | |
| dc.type | text |