Almost free groups and Ehrenfeucht-Fra\"ıssé games for successors of singular cardinals
| dc.creator | Shelah, Saharon | |
| dc.creator | Väisänen, Pauli | |
| dc.date | 2002-12-04 | |
| dc.date.accessioned | 2026-07-07T04:53:32Z | |
| dc.date.available | 2026-07-07T04:53:32Z | |
| dc.description | We strengthen non-structure theorems for almost free Abelian groups by studying long Ehrenfeucht-Fraisse games between a fixed group of cardinality lambda and a free Abelian group. A group is called epsilon-game-free if the isomorphism player has a winning strategy in the game (of the described form) of length epsilon in lambda. We prove for a large set of successor cardinals lambda=mu^+ existence of nonfree (mu*omega_1)-game-free groups of cardinality lambda. We concentrate on successors of singular cardinals. | |
| dc.identifier | https://arxiv.org/abs/math/0212063 | |
| dc.identifier | http://arxiv.org/abs/math/0212063 | |
| dc.identifier | Ann. Pure Appl. Logic 118 No. 1-2 (2002) 147--173 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65886 | |
| dc.subject | Logic | |
| dc.subject | Group Theory | |
| dc.title | Almost free groups and Ehrenfeucht-Fra\"ıssé games for successors of singular cardinals | |
| dc.type | text |