Universal graphs at the successor of a singular cardinal
| dc.creator | Džamonja, Mirna | |
| dc.creator | Shelah, Saharon | |
| dc.date | 2001-02-06 | |
| dc.date.accessioned | 2026-07-07T04:40:00Z | |
| dc.date.available | 2026-07-07T04:40:00Z | |
| dc.description | The paper is concerned with the existence of a universal graph at the successor of a strong limit singular mu of cofinality aleph_0. Starting from the assumption of the existence of a supercompact cardinal, a model is built in which for some such mu there are mu^{++} graphs on mu^+ that taken jointly are universal for the graphs on mu^+, while 2^{mu^+}>> mu^{++} . The paper also addresses the general problem of obtaining a framework for consistency results at the successor of a singular strong limit starting from the assumption that a supercompact cardinal kappa exists. The result on the existence of universal graphs is obtained as a specific application of a more general method. | |
| dc.identifier | https://arxiv.org/abs/math/0102043 | |
| dc.identifier | http://arxiv.org/abs/math/0102043 | |
| dc.identifier | J. Symbolic Logic 68 No. 2 (2003) 366--388 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60898 | |
| dc.subject | Logic | |
| dc.subject | 03E35, 03E55, 03E75 | |
| dc.title | Universal graphs at the successor of a singular cardinal | |
| dc.type | text |