Chang's conjecture may fail at supercompact cardinals (submitted)
| 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 | We prove a revised version of Laver's indestructibility theorem which slightly improves over the classical result. An application yields the consistency of $(κ^+,κ)\notcc(\aleph\_1,\aleph\_0)$ when $κ$ is supercompact. The actual proofs show that $ω\_1$-regressive Kurepa-trees are consistent above a supercompact cardinal even though ${\rm MM}$ destroys them on all regular cardinals. This rather paradoxical fact contradicts the common intuition. | |
| dc.identifier | https://arxiv.org/abs/math/0605128 | |
| dc.identifier | http://arxiv.org/abs/math/0605128 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112663 | |
| dc.subject | Logic | |
| dc.title | Chang's conjecture may fail at supercompact cardinals (submitted) | |
| dc.type | text |