Limits in compact abelian groups
| dc.creator | Hart, Joan E. | |
| dc.creator | Kunen, Kenneth | |
| dc.date | 2004-08-09 | |
| dc.date.accessioned | 2026-07-07T05:11:08Z | |
| dc.date.available | 2026-07-07T05:11:08Z | |
| dc.description | Let X be compact abelian group and G its dual (a discrete group). If B is an infinite subset of G, let C_B be the set of all x in X such that <phi(x) : phi \in B> converges to 1. If F is a free filter on G, let D_F be the union of all the C_B for B in F. The sets C_B and D_F are subgroups of X. C_B always has Haar measure 0, while the measure of D_F depends on F. We show that there is a filter F such that D_F has measure 0 but is not contained in any C_B. This generalizes previous results for the special case where X is the circle group. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0408115 | |
| dc.identifier | http://arxiv.org/abs/math/0408115 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72141 | |
| dc.subject | General Topology | |
| dc.subject | Group Theory | |
| dc.subject | 54H11; 22C05 | |
| dc.title | Limits in compact abelian groups | |
| dc.type | text |