Power set modulo small, the singular of uncountable cofinality
| dc.creator | Shelah, Saharon | |
| dc.date | 2006-12-09 | |
| dc.date.accessioned | 2026-07-07T07:34:47Z | |
| dc.date.available | 2026-07-07T07:34:47Z | |
| dc.description | Let mu be singular of uncountable cofinality. If mu>2^{cf(mu)}, we prove that in P=([mu]^mu,supseteq) as a forcing notion we have a natural complete embedding of Levy(aleph_0, mu^+) (so P collapses mu^+ to aleph_0) and even Levy(aleph_0, U_{J^{bd}_kappa}(mu)) . The ``natural'' means that the forcing ({p in [mu]^mu :p closed}, supseteq) is naturally embedded and is equivalent to the Levy algebra. If mu <2^{cf(mu)} we have weaker results. | |
| dc.identifier | https://arxiv.org/abs/math/0612243 | |
| dc.identifier | http://arxiv.org/abs/math/0612243 | |
| dc.identifier | J. Symbolic Logic 72 No. 1 (2007) 226--242 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119892 | |
| dc.subject | Logic | |
| dc.title | Power set modulo small, the singular of uncountable cofinality | |
| dc.type | text |