Limits in Function Spaces and Compact Groups
| dc.creator | Hart, Joan E. | |
| dc.creator | Kunen, Kenneth | |
| dc.date | 2003-02-19 | |
| dc.date.accessioned | 2026-07-07T04:55:26Z | |
| dc.date.available | 2026-07-07T04:55:26Z | |
| dc.description | If B is an infinite subset of omega and X is a topological group, let C^X_B be the set of all x in X such that <x^n : n in B> converges to 1. If F is a filter of infinite sets, let D^X_F be the union of all the C^X_B for B in F. The C^X_B and D^X_F are subgroups of X when X is abelian. In the circle group T, it is known that C^X_B always has measure 0. We show that there is a filter F such that D^T_F has measure 0 but is not contained in any C^X_B. There is another filter G such that D^X_G = T. We also describe the relationship between D^T_F and the D^X_F for arbitrary compact groups X. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0302239 | |
| dc.identifier | http://arxiv.org/abs/math/0302239 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66578 | |
| dc.subject | General Topology | |
| dc.subject | 54H11; 22C05 | |
| dc.title | Limits in Function Spaces and Compact Groups | |
| dc.type | text |