Reflection implies the SCH
| dc.creator | Shelah, Saharon | |
| dc.date | 2004-04-19 | |
| dc.date | 2007-09-30 | |
| dc.date.accessioned | 2026-07-07T08:32:46Z | |
| dc.date.available | 2026-07-07T08:32:46Z | |
| dc.description | We prove that, e.g., if mu >cf(mu)= aleph_0 and mu>2^{aleph_0} and every stationary family of countable subsets of mu^+ reflect in some subset of mu^+ of cardinality aleph_1, then the SCH for mu^+ (moreover, for mu^+, any scale for mu^+ has a bad stationary set of cofinality aleph_1). This answers a question of Foreman and Todorcevic who got such conclusion from the simultaneous reflection of four stationary sets. | |
| dc.identifier | https://arxiv.org/abs/math/0404323 | |
| dc.identifier | http://arxiv.org/abs/math/0404323 | |
| dc.identifier | Fund. Math. 198 No. 2 (2008) 95--111 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138898 | |
| dc.subject | Logic | |
| dc.title | Reflection implies the SCH | |
| dc.type | text |