The core model for almost linear iterations
| dc.creator | Schindler, Ralf-Dieter | |
| dc.date | 2000-02-11 | |
| dc.date | 2001-04-06 | |
| dc.date.accessioned | 2026-07-07T04:33:49Z | |
| dc.date.available | 2026-07-07T04:33:49Z | |
| dc.description | We introduce 0^h (0^handgrenade) as a sharp for an inner model with a proper class of strong cardinals. If 0^h does not exist then any normal iteration tree is "almost linear." We exploit this fact to prove the existence of the core model K in the theory "ZFC + 0^h does not exist." (As of today, non-0^h is thereby the weakest anti large cardinal assumption under which K can be shown to exist in ZFC. In this sense we improve earlier work of Dodd, Jensen, Mitchell, and - partially - Steel.) We indicate that our paper provides the last step for determining the exact consistency strength of a statement in the Delfino problem list. | |
| dc.description | 80 pages | |
| dc.identifier | https://arxiv.org/abs/math/0002089 | |
| dc.identifier | http://arxiv.org/abs/math/0002089 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58671 | |
| dc.subject | Logic | |
| dc.subject | 03E15;03E45;03E55 | |
| dc.title | The core model for almost linear iterations | |
| dc.type | text |