Ladder gaps over stationary sets
| dc.creator | Abraham, Uri | |
| dc.creator | Shelah, Saharon | |
| dc.date | 2004-04-07 | |
| dc.date.accessioned | 2026-07-07T05:07:14Z | |
| dc.date.available | 2026-07-07T05:07:14Z | |
| dc.description | For a stationary set S subseteq omega_1 and a ladder system C over S, a new type of gaps called C-Hausdorff is introduced and investigated. We describe a forcing model of ZFC in which, for some stationary set S, for every ladder C over S, every gap contains a subgap that is C-Hausdorff. But for every ladder E over omega_1 setminus S there exists a gap with no subgap that is E-Hausdorff. A new type of chain condition, called polarized chain condition, is introduced. We prove that the iteration with finite support of polarized c.c.c posets is again a polarized c.c.c poset. | |
| dc.identifier | https://arxiv.org/abs/math/0404151 | |
| dc.identifier | http://arxiv.org/abs/math/0404151 | |
| dc.identifier | J. Symbolic Logic 69 No. 2 (2004) 518--532 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70783 | |
| dc.subject | Logic | |
| dc.title | Ladder gaps over stationary sets | |
| dc.type | text |