Forcing indestructibility of set-theoretic axioms
| dc.creator | Koenig, Bernhard | |
| dc.date | 2006-05-04 | |
| dc.date.accessioned | 2026-07-07T07:13:55Z | |
| dc.date.available | 2026-07-07T07:13:55Z | |
| dc.description | Various theorems for the preservation of set-theoretic axioms under forcing are proved, regarding both forcing axioms and axioms true in the Levy-Collapse. These show in particular that certain applications of forcing axioms require to add generic countable sequences high up in the set-theoretic hierarchy even before collapsing everything down to $\aleph\_1$. Later we give applications, among them the consistency of ${\rm MM}$ with $\aleph\_ω$ not being Jonsson which answers a question raised during Oberwolfach 2005. | |
| dc.identifier | https://arxiv.org/abs/math/0605129 | |
| dc.identifier | http://arxiv.org/abs/math/0605129 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112664 | |
| dc.subject | Logic | |
| dc.title | Forcing indestructibility of set-theoretic axioms | |
| dc.type | text |