Topological AE(0)-groups
| dc.creator | Chigogidze, Alex | |
| dc.date | 2000-01-04 | |
| dc.date.accessioned | 2026-07-07T04:33:11Z | |
| dc.date.available | 2026-07-07T04:33:11Z | |
| dc.description | We investigate topological AE(0) -groups class of which contains the class of Polish groups as well as the class of all locally compact groups. We establish the existence of an universal AE(0) -group of a given weight as well as the existence of an universal action of AE(0) -group of a given weight on a AE(0) -space of the same weight. A complete characterization of closed subgroups of powers of the symmetric group is obtained. It is also shown that every AE (0)-group is Baire isomorphic to the product of Polish groups. These results are obtained by using the spectral descriptions of AE(0)-groups which are presented in Section 3. | |
| dc.identifier | https://arxiv.org/abs/math/0001017 | |
| dc.identifier | http://arxiv.org/abs/math/0001017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58481 | |
| dc.subject | General Topology | |
| dc.subject | 22A05, 22F05 | |
| dc.title | Topological AE(0)-groups | |
| dc.type | text |