Polish Algebras shy from freedom
| dc.creator | Shelah, Saharon | |
| dc.date | 2002-12-18 | |
| dc.date | 2007-08-15 | |
| dc.date.accessioned | 2026-07-07T08:23:40Z | |
| dc.date.available | 2026-07-07T08:23:40Z | |
| dc.description | Our first motivation was the question: can a countable structure have an automorphism group, which a free uncountable group? This is answered negatively in [Sh:744]. Lecturing in a conference in Rutgers, February 2001, I was asked whether I am really speaking on Polish groups. We can prove this using a more restrictive condition on the set of equations. Parallel theorems, hold for semi groups and for metric algebras, e.g. with non-isolated unit. Here we do the general case. For instance we show that there is no Polish group which as a group is free and uncountable. | |
| dc.identifier | https://arxiv.org/abs/math/0212250 | |
| dc.identifier | http://arxiv.org/abs/math/0212250 | |
| dc.identifier | Israel J. Math. 181 (2011) 477--507 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136079 | |
| dc.subject | Logic | |
| dc.title | Polish Algebras shy from freedom | |
| dc.type | text |